meta stringlengths 521 549 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"a": "m + 20", "b": "a + 9", "y": "b + 18", "f": "y + 5", "j": "f + 18", "h": "j + 14", "t": "m + 7", "z": "t + 3", "e": "z + 18", "c": "e + 12", "p": "c + 19", "l": "p + 17", "m": 12}, "premises": {"m": 12}, "target": "h"}, "answer": {"steps": [["a", "m + 20", 32], ["b", "a + 9", 41], ["y", "b + 18", 59], ["f", "y + 5", 64], ["j", "f + 18", 82], ["h", "j + 14", 96]], "target_var_name": "h", "target_value": 96, "value_dict": {"m": 12, "a": 32, "b": 41, "y": 59, "f": 64, "j": 82, "h": 96}, "is_reverse": false}} | 1,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 3; c = e + 12; t = m + 7; f = y + 5; y = b + 18; l = p + 17; p = c + 19; j = f + 18; b = a + 9; m = 12; a = m + 20; e = z + 18; h = j + 14. If m = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = m + 20, which gives a = 32.\n2. Compute b using b = a + 9, which gives b = 41.\n3. Compute y using y = b + 18, which gives y = 59.\n4. Compute f using f = y + 5, which gives f = 64.\n5. Compute j using j = f + 18, which gives j = 82.\n6. Compute h using h = j + 14, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 1000,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 3; c = e + 12; t = m + 7; f = y + 5; y = b + 18; l = p + 17; p = c + 19; j = f + 18; b = a + 9; m = 12; a = m + 20; e = z + 18; h = j + 14. If m = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 7", "f": "b + 20", "x": "f + 13", "e": "x + 16", "i": "e + 19", "k": "i + 10", "s": "l + 1", "z": "s + 16", "y": "z + 5", "d": "y + 7", "t": "d + 18", "g": "t + 16", "l": 2}, "premises": {"l": 2}, "target": "k"}, "answer": {"steps": [["b", "l + 7", 9], ["f", "b + 20", 29], ["x", "f + 13", 42], ["e", "x + 16", 58], ["i", "e + 19", 77], ["k", "i + 10", 87]], "target_var_name": "k", "target_value": 87, "value_dict": {"l": 2, "b": 9, "f": 29, "x": 42, "e": 58, "i": 77, "k": 87}, "is_reverse": false}} | 1,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 7; t = d + 18; g = t + 16; z = s + 16; s = l + 1; y = z + 5; i = e + 19; e = x + 16; l = 2; b = l + 7; x = f + 13; f = b + 20; k = i + 10. Given that l = 2, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = l + 7, which gives b = 9.\n2. Compute f using f = b + 20, which gives f = 29.\n3. Compute x using x = f + 13, which gives x = 42.\n4. Compute e using e = x + 16, which gives e = 58.\n5. Compute i using i = e + 19, which gives i = 77.\n6. Compute k using k = i + 10, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 1001,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 7; t = d + 18; g = t + 16; z = s + 16; s = l + 1; y = z + 5; i = e + 19; e = x + 16; l = 2; b = l + 7; x = f + 13; f = b + 20; k = i + 10. Given that l = 2, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 16", "q": "b + 12", "p": "q + 19", "t": "p + 10", "g": "t + 8", "l": "g + 11", "f": "s + 4", "h": "f + 6", "r": "h + 1", "v": "r + 10", "o": "v + 5", "z": "o + 15", "s": 1}, "premises": {"s": 1}, "target": "l"}, "answer": {"steps": [["b", "s + 16", 17], ["q", "b + 12", 29], ["p", "q + 19", 48], ["t", "p + 10", 58], ["g", "t + 8", 66], ["l", "g + 11", 77]], "target_var_name": "l", "target_value": 77, "value_dict": {"s": 1, "b": 17, "q": 29, "p": 48, "t": 58, "g": 66, "l": 77}, "is_reverse": false}} | 1,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 4; h = f + 6; p = q + 19; r = h + 1; g = t + 8; z = o + 15; b = s + 16; t = p + 10; q = b + 12; v = r + 10; l = g + 11; o = v + 5; s = 1. If s = 1, what is the resulting value of l?",
"role": "user"... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = s + 16, which gives b = 17.\n2. Compute q using q = b + 12, which gives q = 29.\n3. Compute p using p = q + 19, which gives p = 48.\n4. Compute t using t = p + 10, which gives t = 58.\n5. Compute g using g = t + 8, which gives g = 66.\n6. Compute l using l = g + 11, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 1002,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 4; h = f + 6; p = q + 19; r = h + 1; g = t + 8; z = o + 15; b = s + 16; t = p + 10; q = b + 12; v = r + 10; l = g + 11; o = v + 5; s = 1. If s = 1, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 12", "z": "v + 5", "d": "z + 17", "u": "d + 4", "l": "u + 8", "i": "l + 2", "r": "t + 17", "e": "r + 6", "p": "e + 16", "s": "p + 18", "o": "s + 3", "j": "o + 8", "t": 6}, "premises": {"t": 6}, "target": "i"}, "answer": {"steps": [["v", "t + 12", 18], ["z", "v + 5", 23], ["d", "z + 17", 40], ["u", "d + 4", 44], ["l", "u + 8", 52], ["i", "l + 2", 54]], "target_var_name": "i", "target_value": 54, "value_dict": {"t": 6, "v": 18, "z": 23, "d": 40, "u": 44, "l": 52, "i": 54}, "is_reverse": false}} | 1,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 8; i = l + 2; o = s + 3; v = t + 12; j = o + 8; u = d + 4; s = p + 18; d = z + 17; z = v + 5; t = 6; r = t + 17; e = r + 6; p = e + 16. Given that t = 6, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = t + 12, which gives v = 18.\n2. Compute z using z = v + 5, which gives z = 23.\n3. Compute d using d = z + 17, which gives d = 40.\n4. Compute u using u = d + 4, which gives u = 44.\n5. Compute l using l = u + 8, which gives l = 52.\n6. Compute i using i = l + 2, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 1003,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 8; i = l + 2; o = s + 3; v = t + 12; j = o + 8; u = d + 4; s = p + 18; d = z + 17; z = v + 5; t = 6; r = t + 17; e = r + 6; p = e + 16. Given that t = 6, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 9", "z": "a + 4", "q": "z + 12", "m": "q + 2", "h": "m + 18", "g": "h + 5", "t": "o + 9", "w": "t + 13", "b": "w + 3", "n": "b + 7", "c": "n + 12", "x": "c + 1", "o": 5}, "premises": {"o": 5}, "target": "g"}, "answer": {"steps": [["a", "o + 9", 14], ["z", "a + 4", 18], ["q", "z + 12", 30], ["m", "q + 2", 32], ["h", "m + 18", 50], ["g", "h + 5", 55]], "target_var_name": "g", "target_value": 55, "value_dict": {"o": 5, "a": 14, "z": 18, "q": 30, "m": 32, "h": 50, "g": 55}, "is_reverse": false}} | 1,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 7; t = o + 9; q = z + 12; x = c + 1; a = o + 9; z = a + 4; o = 5; c = n + 12; b = w + 3; w = t + 13; m = q + 2; h = m + 18; g = h + 5. If o = 5, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = o + 9, which gives a = 14.\n2. Compute z using z = a + 4, which gives z = 18.\n3. Compute q using q = z + 12, which gives q = 30.\n4. Compute m using m = q + 2, which gives m = 32.\n5. Compute h using h = m + 18, which gives h = 50.\n6. Compute g using g = h + 5, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 1004,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 7; t = o + 9; q = z + 12; x = c + 1; a = o + 9; z = a + 4; o = 5; c = n + 12; b = w + 3; w = t + 13; m = q + 2; h = m + 18; g = h + 5. If o = 5, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 6", "q": "g + 2", "w": "q + 15", "p": "w + 17", "c": "p + 15", "o": "c + 6", "i": "e + 16", "d": "i + 3", "x": "d + 10", "j": "x + 10", "h": "j + 7", "r": "h + 17", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["g", "e + 6", 9], ["q", "g + 2", 11], ["w", "q + 15", 26], ["p", "w + 17", 43], ["c", "p + 15", 58], ["o", "c + 6", 64]], "target_var_name": "o", "target_value": 64, "value_dict": {"e": 3, "g": 9, "q": 11, "w": 26, "p": 43, "c": 58, "o": 64}, "is_reverse": false}} | 1,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 2; o = c + 6; i = e + 16; r = h + 17; c = p + 15; j = x + 10; d = i + 3; g = e + 6; h = j + 7; x = d + 10; w = q + 15; e = 3; p = w + 17. If e = 3, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = e + 6, which gives g = 9.\n2. Compute q using q = g + 2, which gives q = 11.\n3. Compute w using w = q + 15, which gives w = 26.\n4. Compute p using p = w + 17, which gives p = 43.\n5. Compute c using c = p + 15, which gives c = 58.\n6. Compute o using o = c + 6, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 1005,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 2; o = c + 6; i = e + 16; r = h + 17; c = p + 15; j = x + 10; d = i + 3; g = e + 6; h = j + 7; x = d + 10; w = q + 15; e = 3; p = w + 17. If e = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 1", "d": "h + 17", "p": "d + 6", "c": "p + 3", "t": "c + 14", "g": "t + 10", "e": "n + 16", "j": "e + 18", "x": "j + 5", "k": "x + 6", "q": "k + 3", "b": "q + 20", "n": 14}, "premises": {"n": 14}, "target": "g"}, "answer": {"steps": [["h", "n + 1", 15], ["d", "h + 17", 32], ["p", "d + 6", 38], ["c", "p + 3", 41], ["t", "c + 14", 55], ["g", "t + 10", 65]], "target_var_name": "g", "target_value": 65, "value_dict": {"n": 14, "h": 15, "d": 32, "p": 38, "c": 41, "t": 55, "g": 65}, "is_reverse": false}} | 1,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = e + 18; n = 14; h = n + 1; t = c + 14; b = q + 20; p = d + 6; c = p + 3; x = j + 5; q = k + 3; k = x + 6; d = h + 17; g = t + 10; e = n + 16. Given that n = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = n + 1, which gives h = 15.\n2. Compute d using d = h + 17, which gives d = 32.\n3. Compute p using p = d + 6, which gives p = 38.\n4. Compute c using c = p + 3, which gives c = 41.\n5. Compute t using t = c + 14, which gives t = 55.\n6. Compute g using g = t + 10, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 1006,
"question": "Suppose a collection of variables is related by the following definitions: j = e + 18; n = 14; h = n + 1; t = c + 14; b = q + 20; p = d + 6; c = p + 3; x = j + 5; q = k + 3; k = x + 6; d = h + 17; g = t + 10; e = n + 16. Given that n = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 7", "j": "z + 12", "h": "j + 9", "x": "h + 11", "k": "x + 20", "c": "k + 16", "r": "d + 16", "i": "r + 18", "q": "i + 13", "m": "q + 2", "y": "m + 17", "n": "y + 16", "d": 9}, "premises": {"d": 9}, "target": "c"}, "answer": {"steps": [["z", "d + 7", 16], ["j", "z + 12", 28], ["h", "j + 9", 37], ["x", "h + 11", 48], ["k", "x + 20", 68], ["c", "k + 16", 84]], "target_var_name": "c", "target_value": 84, "value_dict": {"d": 9, "z": 16, "j": 28, "h": 37, "x": 48, "k": 68, "c": 84}, "is_reverse": false}} | 1,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 18; k = x + 20; r = d + 16; j = z + 12; q = i + 13; m = q + 2; h = j + 9; z = d + 7; x = h + 11; c = k + 16; d = 9; y = m + 17; n = y + 16. If d = 9, what is the resulting value of c?",
"role": "use... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = d + 7, which gives z = 16.\n2. Compute j using j = z + 12, which gives j = 28.\n3. Compute h using h = j + 9, which gives h = 37.\n4. Compute x using x = h + 11, which gives x = 48.\n5. Compute k using k = x + 20, which gives k = 68.\n6. Compute c using c = k + 16, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 1007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 18; k = x + 20; r = d + 16; j = z + 12; q = i + 13; m = q + 2; h = j + 9; z = d + 7; x = h + 11; c = k + 16; d = 9; y = m + 17; n = y + 16. If d = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 10", "z": "u + 8", "i": "z + 10", "k": "i + 14", "w": "k + 4", "s": "w + 5", "b": "f + 19", "y": "b + 3", "e": "y + 15", "g": "e + 3", "r": "g + 13", "x": "r + 18", "f": 15}, "premises": {"f": 15}, "target": "s"}, "answer": {"steps": [["u", "f + 10", 25], ["z", "u + 8", 33], ["i", "z + 10", 43], ["k", "i + 14", 57], ["w", "k + 4", 61], ["s", "w + 5", 66]], "target_var_name": "s", "target_value": 66, "value_dict": {"f": 15, "u": 25, "z": 33, "i": 43, "k": 57, "w": 61, "s": 66}, "is_reverse": false}} | 1,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 8; x = r + 18; g = e + 3; e = y + 15; f = 15; r = g + 13; u = f + 10; b = f + 19; w = k + 4; i = z + 10; y = b + 3; k = i + 14; s = w + 5. If f = 15, what is the resulting value of s?",
"role": "use... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = f + 10, which gives u = 25.\n2. Compute z using z = u + 8, which gives z = 33.\n3. Compute i using i = z + 10, which gives i = 43.\n4. Compute k using k = i + 14, which gives k = 57.\n5. Compute w using w = k + 4, which gives w = 61.\n6. Compute s using s = w + 5, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 1008,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 8; x = r + 18; g = e + 3; e = y + 15; f = 15; r = g + 13; u = f + 10; b = f + 19; w = k + 4; i = z + 10; y = b + 3; k = i + 14; s = w + 5. If f = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 14", "s": "c + 19", "y": "s + 10", "w": "y + 2", "i": "w + 17", "p": "i + 16", "x": "m + 13", "k": "x + 10", "o": "k + 16", "j": "o + 3", "g": "j + 4", "d": "g + 14", "m": 18}, "premises": {"m": 18}, "target": "p"}, "answer": {"steps": [["c", "m + 14", 32], ["s", "c + 19", 51], ["y", "s + 10", 61], ["w", "y + 2", 63], ["i", "w + 17", 80], ["p", "i + 16", 96]], "target_var_name": "p", "target_value": 96, "value_dict": {"m": 18, "c": 32, "s": 51, "y": 61, "w": 63, "i": 80, "p": 96}, "is_reverse": false}} | 1,009 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 16; y = s + 10; i = w + 17; k = x + 10; c = m + 14; s = c + 19; d = g + 14; w = y + 2; x = m + 13; o = k + 16; j = o + 3; g = j + 4; m = 18. If m = 18, what is the resulting value of p?",
"role": "u... | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = m + 14, which gives c = 32.\n2. Compute s using s = c + 19, which gives s = 51.\n3. Compute y using y = s + 10, which gives y = 61.\n4. Compute w using w = y + 2, which gives w = 63.\n5. Compute i using i = w + 17, which gives i = 80.\n6. Compute p using p = i + 16, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 1009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 16; y = s + 10; i = w + 17; k = x + 10; c = m + 14; s = c + 19; d = g + 14; w = y + 2; x = m + 13; o = k + 16; j = o + 3; g = j + 4; m = 18. If m = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 3", "h": "g + 10", "t": "h + 2", "m": "t + 14", "l": "m + 3", "v": "l + 15", "s": "u + 18", "b": "s + 15", "w": "b + 11", "q": "w + 5", "i": "q + 6", "k": "i + 18", "u": 3}, "premises": {"u": 3}, "target": "v"}, "answer": {"steps": [["g", "u + 3", 6], ["h", "g + 10", 16], ["t", "h + 2", 18], ["m", "t + 14", 32], ["l", "m + 3", 35], ["v", "l + 15", 50]], "target_var_name": "v", "target_value": 50, "value_dict": {"u": 3, "g": 6, "h": 16, "t": 18, "m": 32, "l": 35, "v": 50}, "is_reverse": false}} | 1,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 14; v = l + 15; s = u + 18; i = q + 6; q = w + 5; b = s + 15; w = b + 11; t = h + 2; u = 3; l = m + 3; g = u + 3; h = g + 10; k = i + 18. If u = 3, what is the resulting value of v?",
"role": "user"... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = u + 3, which gives g = 6.\n2. Compute h using h = g + 10, which gives h = 16.\n3. Compute t using t = h + 2, which gives t = 18.\n4. Compute m using m = t + 14, which gives m = 32.\n5. Compute l using l = m + 3, which gives l = 35.\n6. Compute v using v = l + 15, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 1010,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 14; v = l + 15; s = u + 18; i = q + 6; q = w + 5; b = s + 15; w = b + 11; t = h + 2; u = 3; l = m + 3; g = u + 3; h = g + 10; k = i + 18. If u = 3, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 5", "t": "c + 15", "b": "t + 3", "e": "b + 6", "g": "e + 18", "j": "g + 1", "w": "m + 14", "d": "w + 10", "x": "d + 20", "o": "x + 5", "s": "o + 11", "h": "s + 14", "m": 1}, "premises": {"m": 1}, "target": "j"}, "answer": {"steps": [["c", "m + 5", 6], ["t", "c + 15", 21], ["b", "t + 3", 24], ["e", "b + 6", 30], ["g", "e + 18", 48], ["j", "g + 1", 49]], "target_var_name": "j", "target_value": 49, "value_dict": {"m": 1, "c": 6, "t": 21, "b": 24, "e": 30, "g": 48, "j": 49}, "is_reverse": false}} | 1,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = x + 5; j = g + 1; g = e + 18; m = 1; t = c + 15; c = m + 5; b = t + 3; e = b + 6; x = d + 20; h = s + 14; s = o + 11; w = m + 14; d = w + 10. If m = 1, what is the resulting value of j?",
"role": "user"... | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = m + 5, which gives c = 6.\n2. Compute t using t = c + 15, which gives t = 21.\n3. Compute b using b = t + 3, which gives b = 24.\n4. Compute e using e = b + 6, which gives e = 30.\n5. Compute g using g = e + 18, which gives g = 48.\n6. Compute j using j = g + 1, which gives j = 49.\n\nThus, the final answer is j = \\boxed{49}.",
"index": 1011,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = x + 5; j = g + 1; g = e + 18; m = 1; t = c + 15; c = m + 5; b = t + 3; e = b + 6; x = d + 20; h = s + 14; s = o + 11; w = m + 14; d = w + 10. If m = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 3", "i": "j + 16", "l": "i + 2", "p": "l + 9", "a": "p + 17", "f": "a + 19", "v": "c + 10", "w": "v + 20", "m": "w + 11", "g": "m + 9", "e": "g + 7", "b": "e + 17", "c": 19}, "premises": {"c": 19}, "target": "f"}, "answer": {"steps": [["j", "c + 3", 22], ["i", "j + 16", 38], ["l", "i + 2", 40], ["p", "l + 9", 49], ["a", "p + 17", 66], ["f", "a + 19", 85]], "target_var_name": "f", "target_value": 85, "value_dict": {"c": 19, "j": 22, "i": 38, "l": 40, "p": 49, "a": 66, "f": 85}, "is_reverse": false}} | 1,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 3; b = e + 17; i = j + 16; w = v + 20; p = l + 9; m = w + 11; a = p + 17; v = c + 10; c = 19; l = i + 2; g = m + 9; f = a + 19; e = g + 7. If c = 19, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = c + 3, which gives j = 22.\n2. Compute i using i = j + 16, which gives i = 38.\n3. Compute l using l = i + 2, which gives l = 40.\n4. Compute p using p = l + 9, which gives p = 49.\n5. Compute a using a = p + 17, which gives a = 66.\n6. Compute f using f = a + 19, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 1012,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 3; b = e + 17; i = j + 16; w = v + 20; p = l + 9; m = w + 11; a = p + 17; v = c + 10; c = 19; l = i + 2; g = m + 9; f = a + 19; e = g + 7. If c = 19, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 20", "r": "c + 14", "p": "r + 20", "f": "p + 11", "v": "f + 4", "x": "v + 13", "s": "y + 17", "o": "s + 19", "q": "o + 18", "h": "q + 1", "k": "h + 6", "g": "k + 3", "y": 7}, "premises": {"y": 7}, "target": "x"}, "answer": {"steps": [["c", "y + 20", 27], ["r", "c + 14", 41], ["p", "r + 20", 61], ["f", "p + 11", 72], ["v", "f + 4", 76], ["x", "v + 13", 89]], "target_var_name": "x", "target_value": 89, "value_dict": {"y": 7, "c": 27, "r": 41, "p": 61, "f": 72, "v": 76, "x": 89}, "is_reverse": false}} | 1,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 4; f = p + 11; o = s + 19; h = q + 1; p = r + 20; q = o + 18; s = y + 17; r = c + 14; y = 7; x = v + 13; c = y + 20; k = h + 6; g = k + 3. Given that y = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 20, which gives c = 27.\n2. Compute r using r = c + 14, which gives r = 41.\n3. Compute p using p = r + 20, which gives p = 61.\n4. Compute f using f = p + 11, which gives f = 72.\n5. Compute v using v = f + 4, which gives v = 76.\n6. Compute x using x = v + 13, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 1013,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 4; f = p + 11; o = s + 19; h = q + 1; p = r + 20; q = o + 18; s = y + 17; r = c + 14; y = 7; x = v + 13; c = y + 20; k = h + 6; g = k + 3. Given that y = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 19", "x": "s + 17", "v": "x + 7", "r": "v + 9", "q": "r + 16", "u": "q + 17", "j": "f + 1", "d": "j + 1", "z": "d + 11", "l": "z + 13", "k": "l + 16", "e": "k + 11", "f": 15}, "premises": {"f": 15}, "target": "u"}, "answer": {"steps": [["s", "f + 19", 34], ["x", "s + 17", 51], ["v", "x + 7", 58], ["r", "v + 9", 67], ["q", "r + 16", 83], ["u", "q + 17", 100]], "target_var_name": "u", "target_value": 100, "value_dict": {"f": 15, "s": 34, "x": 51, "v": 58, "r": 67, "q": 83, "u": 100}, "is_reverse": false}} | 1,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 11; s = f + 19; j = f + 1; q = r + 16; u = q + 17; x = s + 17; f = 15; v = x + 7; k = l + 16; l = z + 13; d = j + 1; r = v + 9; e = k + 11. If f = 15, what is the resulting value of u?",
"role": "us... | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = f + 19, which gives s = 34.\n2. Compute x using x = s + 17, which gives x = 51.\n3. Compute v using v = x + 7, which gives v = 58.\n4. Compute r using r = v + 9, which gives r = 67.\n5. Compute q using q = r + 16, which gives q = 83.\n6. Compute u using u = q + 17, which gives u = 100.\n\nThus, the final answer is u = \\boxed{100}.",
"index": 1014,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 11; s = f + 19; j = f + 1; q = r + 16; u = q + 17; x = s + 17; f = 15; v = x + 7; k = l + 16; l = z + 13; d = j + 1; r = v + 9; e = k + 11. If f = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 10", "z": "h + 2", "d": "z + 5", "c": "d + 3", "r": "c + 1", "i": "r + 7", "w": "a + 6", "o": "w + 6", "p": "o + 17", "n": "p + 12", "l": "n + 17", "b": "l + 2", "a": 20}, "premises": {"a": 20}, "target": "i"}, "answer": {"steps": [["h", "a + 10", 30], ["z", "h + 2", 32], ["d", "z + 5", 37], ["c", "d + 3", 40], ["r", "c + 1", 41], ["i", "r + 7", 48]], "target_var_name": "i", "target_value": 48, "value_dict": {"a": 20, "h": 30, "z": 32, "d": 37, "c": 40, "r": 41, "i": 48}, "is_reverse": false}} | 1,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 3; w = a + 6; z = h + 2; h = a + 10; l = n + 17; i = r + 7; n = p + 12; o = w + 6; d = z + 5; p = o + 17; r = c + 1; a = 20; b = l + 2. If a = 20, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = a + 10, which gives h = 30.\n2. Compute z using z = h + 2, which gives z = 32.\n3. Compute d using d = z + 5, which gives d = 37.\n4. Compute c using c = d + 3, which gives c = 40.\n5. Compute r using r = c + 1, which gives r = 41.\n6. Compute i using i = r + 7, which gives i = 48.\n\nThus, the final answer is i = \\boxed{48}.",
"index": 1015,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = d + 3; w = a + 6; z = h + 2; h = a + 10; l = n + 17; i = r + 7; n = p + 12; o = w + 6; d = z + 5; p = o + 17; r = c + 1; a = 20; b = l + 2. If a = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 3", "b": "c + 16", "s": "b + 19", "y": "s + 17", "x": "y + 17", "j": "x + 8", "i": "w + 9", "v": "i + 14", "q": "v + 10", "n": "q + 13", "l": "n + 17", "t": "l + 20", "w": 9}, "premises": {"w": 9}, "target": "j"}, "answer": {"steps": [["c", "w + 3", 12], ["b", "c + 16", 28], ["s", "b + 19", 47], ["y", "s + 17", 64], ["x", "y + 17", 81], ["j", "x + 8", 89]], "target_var_name": "j", "target_value": 89, "value_dict": {"w": 9, "c": 12, "b": 28, "s": 47, "y": 64, "x": 81, "j": 89}, "is_reverse": false}} | 1,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 3; y = s + 17; j = x + 8; w = 9; q = v + 10; t = l + 20; v = i + 14; l = n + 17; n = q + 13; b = c + 16; i = w + 9; s = b + 19; x = y + 17. Given that w = 9, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = w + 3, which gives c = 12.\n2. Compute b using b = c + 16, which gives b = 28.\n3. Compute s using s = b + 19, which gives s = 47.\n4. Compute y using y = s + 17, which gives y = 64.\n5. Compute x using x = y + 17, which gives x = 81.\n6. Compute j using j = x + 8, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 1016,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 3; y = s + 17; j = x + 8; w = 9; q = v + 10; t = l + 20; v = i + 14; l = n + 17; n = q + 13; b = c + 16; i = w + 9; s = b + 19; x = y + 17. Given that w = 9, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 19", "l": "p + 8", "v": "l + 8", "j": "v + 1", "d": "j + 13", "g": "d + 8", "h": "i + 8", "q": "h + 10", "a": "q + 1", "c": "a + 3", "w": "c + 12", "z": "w + 10", "i": 19}, "premises": {"i": 19}, "target": "g"}, "answer": {"steps": [["p", "i + 19", 38], ["l", "p + 8", 46], ["v", "l + 8", 54], ["j", "v + 1", 55], ["d", "j + 13", 68], ["g", "d + 8", 76]], "target_var_name": "g", "target_value": 76, "value_dict": {"i": 19, "p": 38, "l": 46, "v": 54, "j": 55, "d": 68, "g": 76}, "is_reverse": false}} | 1,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 13; p = i + 19; g = d + 8; c = a + 3; a = q + 1; q = h + 10; l = p + 8; j = v + 1; i = 19; w = c + 12; h = i + 8; z = w + 10; v = l + 8. If i = 19, what is the resulting value of g?",
"role": "user"... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 19, which gives p = 38.\n2. Compute l using l = p + 8, which gives l = 46.\n3. Compute v using v = l + 8, which gives v = 54.\n4. Compute j using j = v + 1, which gives j = 55.\n5. Compute d using d = j + 13, which gives d = 68.\n6. Compute g using g = d + 8, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 1017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 13; p = i + 19; g = d + 8; c = a + 3; a = q + 1; q = h + 10; l = p + 8; j = v + 1; i = 19; w = c + 12; h = i + 8; z = w + 10; v = l + 8. If i = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 17", "l": "z + 12", "c": "l + 6", "x": "c + 19", "p": "x + 11", "d": "p + 11", "a": "y + 9", "u": "a + 12", "g": "u + 9", "w": "g + 9", "n": "w + 3", "t": "n + 18", "y": 20}, "premises": {"y": 20}, "target": "d"}, "answer": {"steps": [["z", "y + 17", 37], ["l", "z + 12", 49], ["c", "l + 6", 55], ["x", "c + 19", 74], ["p", "x + 11", 85], ["d", "p + 11", 96]], "target_var_name": "d", "target_value": 96, "value_dict": {"y": 20, "z": 37, "l": 49, "c": 55, "x": 74, "p": 85, "d": 96}, "is_reverse": false}} | 1,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 19; n = w + 3; w = g + 9; u = a + 12; c = l + 6; t = n + 18; z = y + 17; p = x + 11; y = 20; a = y + 9; d = p + 11; l = z + 12; g = u + 9. If y = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = y + 17, which gives z = 37.\n2. Compute l using l = z + 12, which gives l = 49.\n3. Compute c using c = l + 6, which gives c = 55.\n4. Compute x using x = c + 19, which gives x = 74.\n5. Compute p using p = x + 11, which gives p = 85.\n6. Compute d using d = p + 11, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 1018,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 19; n = w + 3; w = g + 9; u = a + 12; c = l + 6; t = n + 18; z = y + 17; p = x + 11; y = 20; a = y + 9; d = p + 11; l = z + 12; g = u + 9. If y = 20, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 3", "n": "j + 17", "d": "n + 10", "q": "d + 16", "e": "q + 11", "p": "e + 1", "b": "i + 2", "y": "b + 17", "v": "y + 16", "h": "v + 9", "z": "h + 11", "c": "z + 19", "i": 3}, "premises": {"i": 3}, "target": "p"}, "answer": {"steps": [["j", "i + 3", 6], ["n", "j + 17", 23], ["d", "n + 10", 33], ["q", "d + 16", 49], ["e", "q + 11", 60], ["p", "e + 1", 61]], "target_var_name": "p", "target_value": 61, "value_dict": {"i": 3, "j": 6, "n": 23, "d": 33, "q": 49, "e": 60, "p": 61}, "is_reverse": false}} | 1,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 19; h = v + 9; n = j + 17; p = e + 1; i = 3; e = q + 11; q = d + 16; j = i + 3; z = h + 11; b = i + 2; d = n + 10; y = b + 17; v = y + 16. Given that i = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = i + 3, which gives j = 6.\n2. Compute n using n = j + 17, which gives n = 23.\n3. Compute d using d = n + 10, which gives d = 33.\n4. Compute q using q = d + 16, which gives q = 49.\n5. Compute e using e = q + 11, which gives e = 60.\n6. Compute p using p = e + 1, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 1019,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 19; h = v + 9; n = j + 17; p = e + 1; i = 3; e = q + 11; q = d + 16; j = i + 3; z = h + 11; b = i + 2; d = n + 10; y = b + 17; v = y + 16. Given that i = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 19", "z": "t + 11", "a": "z + 1", "w": "a + 6", "h": "w + 1", "p": "h + 14", "e": "u + 5", "f": "e + 1", "v": "f + 1", "x": "v + 20", "k": "x + 10", "y": "k + 4", "u": 3}, "premises": {"u": 3}, "target": "p"}, "answer": {"steps": [["t", "u + 19", 22], ["z", "t + 11", 33], ["a", "z + 1", 34], ["w", "a + 6", 40], ["h", "w + 1", 41], ["p", "h + 14", 55]], "target_var_name": "p", "target_value": 55, "value_dict": {"u": 3, "t": 22, "z": 33, "a": 34, "w": 40, "h": 41, "p": 55}, "is_reverse": false}} | 1,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 20; a = z + 1; t = u + 19; z = t + 11; y = k + 4; p = h + 14; w = a + 6; v = f + 1; f = e + 1; e = u + 5; k = x + 10; u = 3; h = w + 1. Given that u = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = u + 19, which gives t = 22.\n2. Compute z using z = t + 11, which gives z = 33.\n3. Compute a using a = z + 1, which gives a = 34.\n4. Compute w using w = a + 6, which gives w = 40.\n5. Compute h using h = w + 1, which gives h = 41.\n6. Compute p using p = h + 14, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 1020,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 20; a = z + 1; t = u + 19; z = t + 11; y = k + 4; p = h + 14; w = a + 6; v = f + 1; f = e + 1; e = u + 5; k = x + 10; u = 3; h = w + 1. Given that u = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 1", "p": "w + 18", "d": "p + 9", "j": "d + 7", "e": "j + 5", "r": "e + 2", "x": "z + 20", "u": "x + 16", "s": "u + 6", "t": "s + 9", "a": "t + 20", "n": "a + 8", "z": 7}, "premises": {"z": 7}, "target": "r"}, "answer": {"steps": [["w", "z + 1", 8], ["p", "w + 18", 26], ["d", "p + 9", 35], ["j", "d + 7", 42], ["e", "j + 5", 47], ["r", "e + 2", 49]], "target_var_name": "r", "target_value": 49, "value_dict": {"z": 7, "w": 8, "p": 26, "d": 35, "j": 42, "e": 47, "r": 49}, "is_reverse": false}} | 1,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 9; r = e + 2; p = w + 18; s = u + 6; n = a + 8; j = d + 7; a = t + 20; e = j + 5; d = p + 9; w = z + 1; z = 7; u = x + 16; x = z + 20. If z = 7, what is the resulting value of r?",
"role": "user"
... | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = z + 1, which gives w = 8.\n2. Compute p using p = w + 18, which gives p = 26.\n3. Compute d using d = p + 9, which gives d = 35.\n4. Compute j using j = d + 7, which gives j = 42.\n5. Compute e using e = j + 5, which gives e = 47.\n6. Compute r using r = e + 2, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 1021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 9; r = e + 2; p = w + 18; s = u + 6; n = a + 8; j = d + 7; a = t + 20; e = j + 5; d = p + 9; w = z + 1; z = 7; u = x + 16; x = z + 20. If z = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 12", "i": "k + 9", "d": "i + 1", "p": "d + 17", "q": "p + 18", "x": "q + 15", "y": "e + 17", "j": "y + 15", "s": "j + 16", "l": "s + 5", "f": "l + 5", "w": "f + 16", "e": 10}, "premises": {"e": 10}, "target": "x"}, "answer": {"steps": [["k", "e + 12", 22], ["i", "k + 9", 31], ["d", "i + 1", 32], ["p", "d + 17", 49], ["q", "p + 18", 67], ["x", "q + 15", 82]], "target_var_name": "x", "target_value": 82, "value_dict": {"e": 10, "k": 22, "i": 31, "d": 32, "p": 49, "q": 67, "x": 82}, "is_reverse": false}} | 1,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 1; l = s + 5; s = j + 16; q = p + 18; y = e + 17; f = l + 5; k = e + 12; p = d + 17; x = q + 15; e = 10; i = k + 9; w = f + 16; j = y + 15. Given that e = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = e + 12, which gives k = 22.\n2. Compute i using i = k + 9, which gives i = 31.\n3. Compute d using d = i + 1, which gives d = 32.\n4. Compute p using p = d + 17, which gives p = 49.\n5. Compute q using q = p + 18, which gives q = 67.\n6. Compute x using x = q + 15, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 1022,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 1; l = s + 5; s = j + 16; q = p + 18; y = e + 17; f = l + 5; k = e + 12; p = d + 17; x = q + 15; e = 10; i = k + 9; w = f + 16; j = y + 15. Given that e = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 4", "v": "r + 1", "i": "v + 3", "x": "i + 15", "w": "x + 7", "q": "w + 16", "l": "s + 20", "j": "l + 1", "f": "j + 2", "b": "f + 5", "z": "b + 20", "o": "z + 20", "s": 5}, "premises": {"s": 5}, "target": "q"}, "answer": {"steps": [["r", "s + 4", 9], ["v", "r + 1", 10], ["i", "v + 3", 13], ["x", "i + 15", 28], ["w", "x + 7", 35], ["q", "w + 16", 51]], "target_var_name": "q", "target_value": 51, "value_dict": {"s": 5, "r": 9, "v": 10, "i": 13, "x": 28, "w": 35, "q": 51}, "is_reverse": false}} | 1,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 15; w = x + 7; o = z + 20; r = s + 4; q = w + 16; b = f + 5; l = s + 20; f = j + 2; s = 5; z = b + 20; j = l + 1; i = v + 3; v = r + 1. If s = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = s + 4, which gives r = 9.\n2. Compute v using v = r + 1, which gives v = 10.\n3. Compute i using i = v + 3, which gives i = 13.\n4. Compute x using x = i + 15, which gives x = 28.\n5. Compute w using w = x + 7, which gives w = 35.\n6. Compute q using q = w + 16, which gives q = 51.\n\nThus, the final answer is q = \\boxed{51}.",
"index": 1023,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 15; w = x + 7; o = z + 20; r = s + 4; q = w + 16; b = f + 5; l = s + 20; f = j + 2; s = 5; z = b + 20; j = l + 1; i = v + 3; v = r + 1. If s = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 9", "w": "n + 15", "p": "w + 16", "l": "p + 16", "a": "l + 17", "m": "a + 20", "o": "j + 8", "h": "o + 4", "d": "h + 11", "q": "d + 9", "s": "q + 8", "f": "s + 19", "j": 19}, "premises": {"j": 19}, "target": "m"}, "answer": {"steps": [["n", "j + 9", 28], ["w", "n + 15", 43], ["p", "w + 16", 59], ["l", "p + 16", 75], ["a", "l + 17", 92], ["m", "a + 20", 112]], "target_var_name": "m", "target_value": 112, "value_dict": {"j": 19, "n": 28, "w": 43, "p": 59, "l": 75, "a": 92, "m": 112}, "is_reverse": false}} | 1,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 11; s = q + 8; h = o + 4; a = l + 17; w = n + 15; f = s + 19; l = p + 16; n = j + 9; o = j + 8; q = d + 9; j = 19; p = w + 16; m = a + 20. If j = 19, what is the resulting value of m?",
"role": "use... | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = j + 9, which gives n = 28.\n2. Compute w using w = n + 15, which gives w = 43.\n3. Compute p using p = w + 16, which gives p = 59.\n4. Compute l using l = p + 16, which gives l = 75.\n5. Compute a using a = l + 17, which gives a = 92.\n6. Compute m using m = a + 20, which gives m = 112.\n\nThus, the final answer is m = \\boxed{112}.",
"index": 1024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 11; s = q + 8; h = o + 4; a = l + 17; w = n + 15; f = s + 19; l = p + 16; n = j + 9; o = j + 8; q = d + 9; j = 19; p = w + 16; m = a + 20. If j = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 19", "f": "x + 12", "a": "f + 17", "v": "a + 3", "c": "v + 17", "s": "c + 12", "e": "p + 5", "l": "e + 14", "h": "l + 14", "z": "h + 1", "w": "z + 12", "q": "w + 10", "p": 9}, "premises": {"p": 9}, "target": "s"}, "answer": {"steps": [["x", "p + 19", 28], ["f", "x + 12", 40], ["a", "f + 17", 57], ["v", "a + 3", 60], ["c", "v + 17", 77], ["s", "c + 12", 89]], "target_var_name": "s", "target_value": 89, "value_dict": {"p": 9, "x": 28, "f": 40, "a": 57, "v": 60, "c": 77, "s": 89}, "is_reverse": false}} | 1,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = a + 3; x = p + 19; e = p + 5; w = z + 12; h = l + 14; a = f + 17; p = 9; l = e + 14; z = h + 1; s = c + 12; c = v + 17; f = x + 12; q = w + 10. If p = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = p + 19, which gives x = 28.\n2. Compute f using f = x + 12, which gives f = 40.\n3. Compute a using a = f + 17, which gives a = 57.\n4. Compute v using v = a + 3, which gives v = 60.\n5. Compute c using c = v + 17, which gives c = 77.\n6. Compute s using s = c + 12, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 1025,
"question": "Consider a system of variables where each variable is defined as follows: v = a + 3; x = p + 19; e = p + 5; w = z + 12; h = l + 14; a = f + 17; p = 9; l = e + 14; z = h + 1; s = c + 12; c = v + 17; f = x + 12; q = w + 10. If p = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 4", "o": "e + 9", "x": "o + 12", "c": "x + 8", "j": "c + 14", "v": "j + 20", "f": "g + 3", "r": "f + 1", "u": "r + 8", "z": "u + 8", "p": "z + 14", "h": "p + 18", "g": 11}, "premises": {"g": 11}, "target": "v"}, "answer": {"steps": [["e", "g + 4", 15], ["o", "e + 9", 24], ["x", "o + 12", 36], ["c", "x + 8", 44], ["j", "c + 14", 58], ["v", "j + 20", 78]], "target_var_name": "v", "target_value": 78, "value_dict": {"g": 11, "e": 15, "o": 24, "x": 36, "c": 44, "j": 58, "v": 78}, "is_reverse": false}} | 1,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = g + 4; x = o + 12; f = g + 3; c = x + 8; g = 11; h = p + 18; u = r + 8; z = u + 8; o = e + 9; r = f + 1; p = z + 14; v = j + 20; j = c + 14. If g = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = g + 4, which gives e = 15.\n2. Compute o using o = e + 9, which gives o = 24.\n3. Compute x using x = o + 12, which gives x = 36.\n4. Compute c using c = x + 8, which gives c = 44.\n5. Compute j using j = c + 14, which gives j = 58.\n6. Compute v using v = j + 20, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 1026,
"question": "Consider a system of variables where each variable is defined as follows: e = g + 4; x = o + 12; f = g + 3; c = x + 8; g = 11; h = p + 18; u = r + 8; z = u + 8; o = e + 9; r = f + 1; p = z + 14; v = j + 20; j = c + 14. If g = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 18", "u": "x + 6", "b": "u + 11", "y": "b + 16", "f": "y + 14", "k": "f + 4", "e": "o + 17", "w": "e + 10", "r": "w + 5", "a": "r + 12", "h": "a + 4", "n": "h + 6", "o": 15}, "premises": {"o": 15}, "target": "k"}, "answer": {"steps": [["x", "o + 18", 33], ["u", "x + 6", 39], ["b", "u + 11", 50], ["y", "b + 16", 66], ["f", "y + 14", 80], ["k", "f + 4", 84]], "target_var_name": "k", "target_value": 84, "value_dict": {"o": 15, "x": 33, "u": 39, "b": 50, "y": 66, "f": 80, "k": 84}, "is_reverse": false}} | 1,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 4; o = 15; e = o + 17; u = x + 6; x = o + 18; k = f + 4; y = b + 16; n = h + 6; f = y + 14; r = w + 5; w = e + 10; a = r + 12; b = u + 11. If o = 15, what is the resulting value of k?",
"role": "use... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = o + 18, which gives x = 33.\n2. Compute u using u = x + 6, which gives u = 39.\n3. Compute b using b = u + 11, which gives b = 50.\n4. Compute y using y = b + 16, which gives y = 66.\n5. Compute f using f = y + 14, which gives f = 80.\n6. Compute k using k = f + 4, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 1027,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 4; o = 15; e = o + 17; u = x + 6; x = o + 18; k = f + 4; y = b + 16; n = h + 6; f = y + 14; r = w + 5; w = e + 10; a = r + 12; b = u + 11. If o = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 19", "d": "l + 15", "f": "d + 1", "b": "f + 3", "v": "b + 16", "c": "v + 11", "r": "s + 1", "j": "r + 7", "n": "j + 12", "z": "n + 3", "a": "z + 6", "t": "a + 16", "s": 15}, "premises": {"s": 15}, "target": "c"}, "answer": {"steps": [["l", "s + 19", 34], ["d", "l + 15", 49], ["f", "d + 1", 50], ["b", "f + 3", 53], ["v", "b + 16", 69], ["c", "v + 11", 80]], "target_var_name": "c", "target_value": 80, "value_dict": {"s": 15, "l": 34, "d": 49, "f": 50, "b": 53, "v": 69, "c": 80}, "is_reverse": false}} | 1,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 15; s = 15; l = s + 19; n = j + 12; j = r + 7; a = z + 6; r = s + 1; t = a + 16; z = n + 3; f = d + 1; b = f + 3; v = b + 16; c = v + 11. Given that s = 15, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = s + 19, which gives l = 34.\n2. Compute d using d = l + 15, which gives d = 49.\n3. Compute f using f = d + 1, which gives f = 50.\n4. Compute b using b = f + 3, which gives b = 53.\n5. Compute v using v = b + 16, which gives v = 69.\n6. Compute c using c = v + 11, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 1028,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 15; s = 15; l = s + 19; n = j + 12; j = r + 7; a = z + 6; r = s + 1; t = a + 16; z = n + 3; f = d + 1; b = f + 3; v = b + 16; c = v + 11. Given that s = 15, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 14", "o": "i + 4", "s": "o + 17", "f": "s + 11", "j": "f + 10", "y": "j + 20", "l": "b + 2", "e": "l + 19", "d": "e + 16", "m": "d + 12", "g": "m + 15", "z": "g + 7", "b": 8}, "premises": {"b": 8}, "target": "y"}, "answer": {"steps": [["i", "b + 14", 22], ["o", "i + 4", 26], ["s", "o + 17", 43], ["f", "s + 11", 54], ["j", "f + 10", 64], ["y", "j + 20", 84]], "target_var_name": "y", "target_value": 84, "value_dict": {"b": 8, "i": 22, "o": 26, "s": 43, "f": 54, "j": 64, "y": 84}, "is_reverse": false}} | 1,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 14; o = i + 4; z = g + 7; l = b + 2; g = m + 15; d = e + 16; m = d + 12; b = 8; f = s + 11; j = f + 10; y = j + 20; s = o + 17; e = l + 19. If b = 8, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = b + 14, which gives i = 22.\n2. Compute o using o = i + 4, which gives o = 26.\n3. Compute s using s = o + 17, which gives s = 43.\n4. Compute f using f = s + 11, which gives f = 54.\n5. Compute j using j = f + 10, which gives j = 64.\n6. Compute y using y = j + 20, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 1029,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 14; o = i + 4; z = g + 7; l = b + 2; g = m + 15; d = e + 16; m = d + 12; b = 8; f = s + 11; j = f + 10; y = j + 20; s = o + 17; e = l + 19. If b = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 3", "r": "h + 3", "f": "r + 15", "v": "f + 8", "u": "v + 11", "y": "u + 11", "e": "t + 14", "c": "e + 5", "x": "c + 11", "z": "x + 14", "n": "z + 18", "q": "n + 8", "t": 2}, "premises": {"t": 2}, "target": "y"}, "answer": {"steps": [["h", "t + 3", 5], ["r", "h + 3", 8], ["f", "r + 15", 23], ["v", "f + 8", 31], ["u", "v + 11", 42], ["y", "u + 11", 53]], "target_var_name": "y", "target_value": 53, "value_dict": {"t": 2, "h": 5, "r": 8, "f": 23, "v": 31, "u": 42, "y": 53}, "is_reverse": false}} | 1,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 14; h = t + 3; n = z + 18; q = n + 8; c = e + 5; y = u + 11; u = v + 11; t = 2; x = c + 11; e = t + 14; r = h + 3; v = f + 8; f = r + 15. If t = 2, what is the resulting value of y?",
"role": "user"... | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = t + 3, which gives h = 5.\n2. Compute r using r = h + 3, which gives r = 8.\n3. Compute f using f = r + 15, which gives f = 23.\n4. Compute v using v = f + 8, which gives v = 31.\n5. Compute u using u = v + 11, which gives u = 42.\n6. Compute y using y = u + 11, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 1030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 14; h = t + 3; n = z + 18; q = n + 8; c = e + 5; y = u + 11; u = v + 11; t = 2; x = c + 11; e = t + 14; r = h + 3; v = f + 8; f = r + 15. If t = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 7", "i": "l + 6", "a": "i + 8", "n": "a + 14", "s": "n + 12", "w": "s + 15", "u": "p + 1", "z": "u + 6", "k": "z + 7", "f": "k + 11", "b": "f + 15", "v": "b + 4", "p": 9}, "premises": {"p": 9}, "target": "w"}, "answer": {"steps": [["l", "p + 7", 16], ["i", "l + 6", 22], ["a", "i + 8", 30], ["n", "a + 14", 44], ["s", "n + 12", 56], ["w", "s + 15", 71]], "target_var_name": "w", "target_value": 71, "value_dict": {"p": 9, "l": 16, "i": 22, "a": 30, "n": 44, "s": 56, "w": 71}, "is_reverse": false}} | 1,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 9; i = l + 6; v = b + 4; a = i + 8; w = s + 15; f = k + 11; l = p + 7; u = p + 1; z = u + 6; k = z + 7; b = f + 15; n = a + 14; s = n + 12. If p = 9, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = p + 7, which gives l = 16.\n2. Compute i using i = l + 6, which gives i = 22.\n3. Compute a using a = i + 8, which gives a = 30.\n4. Compute n using n = a + 14, which gives n = 44.\n5. Compute s using s = n + 12, which gives s = 56.\n6. Compute w using w = s + 15, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 1031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 9; i = l + 6; v = b + 4; a = i + 8; w = s + 15; f = k + 11; l = p + 7; u = p + 1; z = u + 6; k = z + 7; b = f + 15; n = a + 14; s = n + 12. If p = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 6", "h": "i + 14", "y": "h + 5", "f": "y + 14", "z": "f + 4", "w": "z + 5", "b": "a + 5", "o": "b + 20", "e": "o + 11", "p": "e + 7", "q": "p + 19", "l": "q + 11", "a": 3}, "premises": {"a": 3}, "target": "w"}, "answer": {"steps": [["i", "a + 6", 9], ["h", "i + 14", 23], ["y", "h + 5", 28], ["f", "y + 14", 42], ["z", "f + 4", 46], ["w", "z + 5", 51]], "target_var_name": "w", "target_value": 51, "value_dict": {"a": 3, "i": 9, "h": 23, "y": 28, "f": 42, "z": 46, "w": 51}, "is_reverse": false}} | 1,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 11; b = a + 5; w = z + 5; f = y + 14; q = p + 19; i = a + 6; z = f + 4; p = e + 7; h = i + 14; o = b + 20; e = o + 11; y = h + 5; a = 3. If a = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = a + 6, which gives i = 9.\n2. Compute h using h = i + 14, which gives h = 23.\n3. Compute y using y = h + 5, which gives y = 28.\n4. Compute f using f = y + 14, which gives f = 42.\n5. Compute z using z = f + 4, which gives z = 46.\n6. Compute w using w = z + 5, which gives w = 51.\n\nThus, the final answer is w = \\boxed{51}.",
"index": 1032,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 11; b = a + 5; w = z + 5; f = y + 14; q = p + 19; i = a + 6; z = f + 4; p = e + 7; h = i + 14; o = b + 20; e = o + 11; y = h + 5; a = 3. If a = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 15", "i": "k + 8", "u": "i + 17", "m": "u + 10", "q": "m + 9", "j": "q + 4", "o": "g + 2", "w": "o + 1", "d": "w + 15", "v": "d + 15", "n": "v + 5", "l": "n + 10", "g": 9}, "premises": {"g": 9}, "target": "j"}, "answer": {"steps": [["k", "g + 15", 24], ["i", "k + 8", 32], ["u", "i + 17", 49], ["m", "u + 10", 59], ["q", "m + 9", 68], ["j", "q + 4", 72]], "target_var_name": "j", "target_value": 72, "value_dict": {"g": 9, "k": 24, "i": 32, "u": 49, "m": 59, "q": 68, "j": 72}, "is_reverse": false}} | 1,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 15; d = w + 15; w = o + 1; u = i + 17; m = u + 10; n = v + 5; l = n + 10; q = m + 9; k = g + 15; i = k + 8; o = g + 2; g = 9; j = q + 4. If g = 9, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = g + 15, which gives k = 24.\n2. Compute i using i = k + 8, which gives i = 32.\n3. Compute u using u = i + 17, which gives u = 49.\n4. Compute m using m = u + 10, which gives m = 59.\n5. Compute q using q = m + 9, which gives q = 68.\n6. Compute j using j = q + 4, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 1033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 15; d = w + 15; w = o + 1; u = i + 17; m = u + 10; n = v + 5; l = n + 10; q = m + 9; k = g + 15; i = k + 8; o = g + 2; g = 9; j = q + 4. If g = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 7", "a": "t + 3", "k": "a + 9", "p": "k + 14", "s": "p + 13", "r": "s + 9", "w": "h + 2", "u": "w + 15", "c": "u + 14", "z": "c + 12", "o": "z + 14", "n": "o + 5", "h": 19}, "premises": {"h": 19}, "target": "r"}, "answer": {"steps": [["t", "h + 7", 26], ["a", "t + 3", 29], ["k", "a + 9", 38], ["p", "k + 14", 52], ["s", "p + 13", 65], ["r", "s + 9", 74]], "target_var_name": "r", "target_value": 74, "value_dict": {"h": 19, "t": 26, "a": 29, "k": 38, "p": 52, "s": 65, "r": 74}, "is_reverse": false}} | 1,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 13; p = k + 14; z = c + 12; k = a + 9; h = 19; a = t + 3; n = o + 5; r = s + 9; o = z + 14; t = h + 7; w = h + 2; c = u + 14; u = w + 15. If h = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = h + 7, which gives t = 26.\n2. Compute a using a = t + 3, which gives a = 29.\n3. Compute k using k = a + 9, which gives k = 38.\n4. Compute p using p = k + 14, which gives p = 52.\n5. Compute s using s = p + 13, which gives s = 65.\n6. Compute r using r = s + 9, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 1034,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 13; p = k + 14; z = c + 12; k = a + 9; h = 19; a = t + 3; n = o + 5; r = s + 9; o = z + 14; t = h + 7; w = h + 2; c = u + 14; u = w + 15. If h = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 12", "u": "a + 13", "w": "u + 3", "y": "w + 16", "z": "y + 8", "g": "z + 16", "t": "q + 8", "e": "t + 3", "m": "e + 6", "x": "m + 20", "k": "x + 7", "b": "k + 19", "q": 12}, "premises": {"q": 12}, "target": "g"}, "answer": {"steps": [["a", "q + 12", 24], ["u", "a + 13", 37], ["w", "u + 3", 40], ["y", "w + 16", 56], ["z", "y + 8", 64], ["g", "z + 16", 80]], "target_var_name": "g", "target_value": 80, "value_dict": {"q": 12, "a": 24, "u": 37, "w": 40, "y": 56, "z": 64, "g": 80}, "is_reverse": false}} | 1,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 19; a = q + 12; g = z + 16; x = m + 20; e = t + 3; z = y + 8; k = x + 7; y = w + 16; m = e + 6; u = a + 13; w = u + 3; q = 12; t = q + 8. Given that q = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = q + 12, which gives a = 24.\n2. Compute u using u = a + 13, which gives u = 37.\n3. Compute w using w = u + 3, which gives w = 40.\n4. Compute y using y = w + 16, which gives y = 56.\n5. Compute z using z = y + 8, which gives z = 64.\n6. Compute g using g = z + 16, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 1035,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 19; a = q + 12; g = z + 16; x = m + 20; e = t + 3; z = y + 8; k = x + 7; y = w + 16; m = e + 6; u = a + 13; w = u + 3; q = 12; t = q + 8. Given that q = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 20", "s": "f + 6", "x": "s + 18", "b": "x + 1", "d": "b + 16", "r": "d + 1", "g": "o + 10", "c": "g + 20", "l": "c + 12", "z": "l + 19", "j": "z + 9", "t": "j + 16", "o": 6}, "premises": {"o": 6}, "target": "r"}, "answer": {"steps": [["f", "o + 20", 26], ["s", "f + 6", 32], ["x", "s + 18", 50], ["b", "x + 1", 51], ["d", "b + 16", 67], ["r", "d + 1", 68]], "target_var_name": "r", "target_value": 68, "value_dict": {"o": 6, "f": 26, "s": 32, "x": 50, "b": 51, "d": 67, "r": 68}, "is_reverse": false}} | 1,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 20; g = o + 10; b = x + 1; z = l + 19; t = j + 16; j = z + 9; s = f + 6; c = g + 20; d = b + 16; l = c + 12; r = d + 1; x = s + 18; o = 6. If o = 6, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = o + 20, which gives f = 26.\n2. Compute s using s = f + 6, which gives s = 32.\n3. Compute x using x = s + 18, which gives x = 50.\n4. Compute b using b = x + 1, which gives b = 51.\n5. Compute d using d = b + 16, which gives d = 67.\n6. Compute r using r = d + 1, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 1036,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 20; g = o + 10; b = x + 1; z = l + 19; t = j + 16; j = z + 9; s = f + 6; c = g + 20; d = b + 16; l = c + 12; r = d + 1; x = s + 18; o = 6. If o = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 13", "y": "v + 14", "h": "y + 9", "q": "h + 2", "m": "q + 6", "c": "m + 14", "p": "z + 11", "j": "p + 14", "x": "j + 9", "a": "x + 5", "r": "a + 16", "w": "r + 1", "z": 3}, "premises": {"z": 3}, "target": "c"}, "answer": {"steps": [["v", "z + 13", 16], ["y", "v + 14", 30], ["h", "y + 9", 39], ["q", "h + 2", 41], ["m", "q + 6", 47], ["c", "m + 14", 61]], "target_var_name": "c", "target_value": 61, "value_dict": {"z": 3, "v": 16, "y": 30, "h": 39, "q": 41, "m": 47, "c": 61}, "is_reverse": false}} | 1,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 2; w = r + 1; m = q + 6; v = z + 13; h = y + 9; z = 3; y = v + 14; j = p + 14; r = a + 16; c = m + 14; a = x + 5; x = j + 9; p = z + 11. Given that z = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = z + 13, which gives v = 16.\n2. Compute y using y = v + 14, which gives y = 30.\n3. Compute h using h = y + 9, which gives h = 39.\n4. Compute q using q = h + 2, which gives q = 41.\n5. Compute m using m = q + 6, which gives m = 47.\n6. Compute c using c = m + 14, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 1037,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 2; w = r + 1; m = q + 6; v = z + 13; h = y + 9; z = 3; y = v + 14; j = p + 14; r = a + 16; c = m + 14; a = x + 5; x = j + 9; p = z + 11. Given that z = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 8", "r": "o + 2", "b": "r + 8", "n": "b + 18", "q": "n + 6", "s": "q + 13", "l": "e + 16", "f": "l + 12", "x": "f + 6", "c": "x + 13", "t": "c + 4", "z": "t + 17", "e": 6}, "premises": {"e": 6}, "target": "s"}, "answer": {"steps": [["o", "e + 8", 14], ["r", "o + 2", 16], ["b", "r + 8", 24], ["n", "b + 18", 42], ["q", "n + 6", 48], ["s", "q + 13", 61]], "target_var_name": "s", "target_value": 61, "value_dict": {"e": 6, "o": 14, "r": 16, "b": 24, "n": 42, "q": 48, "s": 61}, "is_reverse": false}} | 1,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 2; q = n + 6; z = t + 17; l = e + 16; f = l + 12; n = b + 18; b = r + 8; s = q + 13; t = c + 4; o = e + 8; e = 6; x = f + 6; c = x + 13. Given that e = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = e + 8, which gives o = 14.\n2. Compute r using r = o + 2, which gives r = 16.\n3. Compute b using b = r + 8, which gives b = 24.\n4. Compute n using n = b + 18, which gives n = 42.\n5. Compute q using q = n + 6, which gives q = 48.\n6. Compute s using s = q + 13, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 1038,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 2; q = n + 6; z = t + 17; l = e + 16; f = l + 12; n = b + 18; b = r + 8; s = q + 13; t = c + 4; o = e + 8; e = 6; x = f + 6; c = x + 13. Given that e = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 17", "f": "q + 4", "a": "f + 16", "v": "a + 2", "c": "v + 5", "n": "c + 2", "u": "p + 19", "d": "u + 5", "z": "d + 15", "r": "z + 10", "k": "r + 16", "h": "k + 1", "p": 16}, "premises": {"p": 16}, "target": "n"}, "answer": {"steps": [["q", "p + 17", 33], ["f", "q + 4", 37], ["a", "f + 16", 53], ["v", "a + 2", 55], ["c", "v + 5", 60], ["n", "c + 2", 62]], "target_var_name": "n", "target_value": 62, "value_dict": {"p": 16, "q": 33, "f": 37, "a": 53, "v": 55, "c": 60, "n": 62}, "is_reverse": false}} | 1,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 15; q = p + 17; c = v + 5; k = r + 16; f = q + 4; r = z + 10; a = f + 16; n = c + 2; v = a + 2; u = p + 19; h = k + 1; p = 16; d = u + 5. If p = 16, what is the resulting value of n?",
"role": "user... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = p + 17, which gives q = 33.\n2. Compute f using f = q + 4, which gives f = 37.\n3. Compute a using a = f + 16, which gives a = 53.\n4. Compute v using v = a + 2, which gives v = 55.\n5. Compute c using c = v + 5, which gives c = 60.\n6. Compute n using n = c + 2, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 1039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 15; q = p + 17; c = v + 5; k = r + 16; f = q + 4; r = z + 10; a = f + 16; n = c + 2; v = a + 2; u = p + 19; h = k + 1; p = 16; d = u + 5. If p = 16, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 9", "v": "t + 2", "b": "v + 9", "y": "b + 18", "z": "y + 9", "u": "z + 9", "o": "m + 12", "e": "o + 6", "k": "e + 5", "c": "k + 7", "x": "c + 1", "h": "x + 9", "m": 12}, "premises": {"m": 12}, "target": "u"}, "answer": {"steps": [["t", "m + 9", 21], ["v", "t + 2", 23], ["b", "v + 9", 32], ["y", "b + 18", 50], ["z", "y + 9", 59], ["u", "z + 9", 68]], "target_var_name": "u", "target_value": 68, "value_dict": {"m": 12, "t": 21, "v": 23, "b": 32, "y": 50, "z": 59, "u": 68}, "is_reverse": false}} | 1,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 9; x = c + 1; z = y + 9; m = 12; o = m + 12; v = t + 2; u = z + 9; k = e + 5; e = o + 6; h = x + 9; c = k + 7; t = m + 9; y = b + 18. Given that m = 12, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = m + 9, which gives t = 21.\n2. Compute v using v = t + 2, which gives v = 23.\n3. Compute b using b = v + 9, which gives b = 32.\n4. Compute y using y = b + 18, which gives y = 50.\n5. Compute z using z = y + 9, which gives z = 59.\n6. Compute u using u = z + 9, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 1040,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 9; x = c + 1; z = y + 9; m = 12; o = m + 12; v = t + 2; u = z + 9; k = e + 5; e = o + 6; h = x + 9; c = k + 7; t = m + 9; y = b + 18. Given that m = 12, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 20", "u": "o + 1", "a": "u + 4", "b": "a + 11", "w": "b + 7", "g": "w + 20", "y": "l + 17", "d": "y + 4", "m": "d + 16", "x": "m + 20", "k": "x + 14", "j": "k + 4", "l": 11}, "premises": {"l": 11}, "target": "g"}, "answer": {"steps": [["o", "l + 20", 31], ["u", "o + 1", 32], ["a", "u + 4", 36], ["b", "a + 11", 47], ["w", "b + 7", 54], ["g", "w + 20", 74]], "target_var_name": "g", "target_value": 74, "value_dict": {"l": 11, "o": 31, "u": 32, "a": 36, "b": 47, "w": 54, "g": 74}, "is_reverse": false}} | 1,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 14; o = l + 20; b = a + 11; x = m + 20; l = 11; u = o + 1; a = u + 4; m = d + 16; y = l + 17; w = b + 7; d = y + 4; j = k + 4; g = w + 20. If l = 11, what is the resulting value of g?",
"role": "use... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = l + 20, which gives o = 31.\n2. Compute u using u = o + 1, which gives u = 32.\n3. Compute a using a = u + 4, which gives a = 36.\n4. Compute b using b = a + 11, which gives b = 47.\n5. Compute w using w = b + 7, which gives w = 54.\n6. Compute g using g = w + 20, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 1041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 14; o = l + 20; b = a + 11; x = m + 20; l = 11; u = o + 1; a = u + 4; m = d + 16; y = l + 17; w = b + 7; d = y + 4; j = k + 4; g = w + 20. If l = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 6", "k": "s + 6", "p": "k + 18", "o": "p + 18", "r": "o + 7", "l": "r + 13", "g": "a + 9", "f": "g + 17", "n": "f + 20", "u": "n + 11", "w": "u + 7", "z": "w + 10", "a": 13}, "premises": {"a": 13}, "target": "l"}, "answer": {"steps": [["s", "a + 6", 19], ["k", "s + 6", 25], ["p", "k + 18", 43], ["o", "p + 18", 61], ["r", "o + 7", 68], ["l", "r + 13", 81]], "target_var_name": "l", "target_value": 81, "value_dict": {"a": 13, "s": 19, "k": 25, "p": 43, "o": 61, "r": 68, "l": 81}, "is_reverse": false}} | 1,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 13; u = n + 11; o = p + 18; r = o + 7; f = g + 17; s = a + 6; k = s + 6; z = w + 10; w = u + 7; n = f + 20; a = 13; g = a + 9; p = k + 18. If a = 13, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = a + 6, which gives s = 19.\n2. Compute k using k = s + 6, which gives k = 25.\n3. Compute p using p = k + 18, which gives p = 43.\n4. Compute o using o = p + 18, which gives o = 61.\n5. Compute r using r = o + 7, which gives r = 68.\n6. Compute l using l = r + 13, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 1042,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 13; u = n + 11; o = p + 18; r = o + 7; f = g + 17; s = a + 6; k = s + 6; z = w + 10; w = u + 7; n = f + 20; a = 13; g = a + 9; p = k + 18. If a = 13, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 10", "a": "v + 11", "r": "a + 16", "l": "r + 8", "n": "l + 17", "s": "n + 11", "t": "y + 17", "f": "t + 16", "m": "f + 18", "q": "m + 12", "g": "q + 9", "b": "g + 3", "y": 12}, "premises": {"y": 12}, "target": "s"}, "answer": {"steps": [["v", "y + 10", 22], ["a", "v + 11", 33], ["r", "a + 16", 49], ["l", "r + 8", 57], ["n", "l + 17", 74], ["s", "n + 11", 85]], "target_var_name": "s", "target_value": 85, "value_dict": {"y": 12, "v": 22, "a": 33, "r": 49, "l": 57, "n": 74, "s": 85}, "is_reverse": false}} | 1,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 9; m = f + 18; b = g + 3; y = 12; n = l + 17; q = m + 12; a = v + 11; f = t + 16; l = r + 8; r = a + 16; s = n + 11; t = y + 17; v = y + 10. If y = 12, what is the resulting value of s?",
"role": "u... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = y + 10, which gives v = 22.\n2. Compute a using a = v + 11, which gives a = 33.\n3. Compute r using r = a + 16, which gives r = 49.\n4. Compute l using l = r + 8, which gives l = 57.\n5. Compute n using n = l + 17, which gives n = 74.\n6. Compute s using s = n + 11, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 1043,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 9; m = f + 18; b = g + 3; y = 12; n = l + 17; q = m + 12; a = v + 11; f = t + 16; l = r + 8; r = a + 16; s = n + 11; t = y + 17; v = y + 10. If y = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 12", "d": "x + 7", "i": "d + 15", "s": "i + 6", "g": "s + 3", "f": "g + 10", "e": "z + 11", "q": "e + 5", "v": "q + 1", "t": "v + 17", "m": "t + 17", "c": "m + 2", "z": 16}, "premises": {"z": 16}, "target": "f"}, "answer": {"steps": [["x", "z + 12", 28], ["d", "x + 7", 35], ["i", "d + 15", 50], ["s", "i + 6", 56], ["g", "s + 3", 59], ["f", "g + 10", 69]], "target_var_name": "f", "target_value": 69, "value_dict": {"z": 16, "x": 28, "d": 35, "i": 50, "s": 56, "g": 59, "f": 69}, "is_reverse": false}} | 1,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 5; m = t + 17; t = v + 17; x = z + 12; g = s + 3; i = d + 15; v = q + 1; d = x + 7; c = m + 2; s = i + 6; e = z + 11; f = g + 10; z = 16. If z = 16, what is the resulting value of f?",
"role": "user... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = z + 12, which gives x = 28.\n2. Compute d using d = x + 7, which gives d = 35.\n3. Compute i using i = d + 15, which gives i = 50.\n4. Compute s using s = i + 6, which gives s = 56.\n5. Compute g using g = s + 3, which gives g = 59.\n6. Compute f using f = g + 10, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 1044,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 5; m = t + 17; t = v + 17; x = z + 12; g = s + 3; i = d + 15; v = q + 1; d = x + 7; c = m + 2; s = i + 6; e = z + 11; f = g + 10; z = 16. If z = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 15", "v": "q + 20", "n": "v + 8", "k": "n + 11", "o": "k + 13", "d": "o + 16", "h": "j + 17", "w": "h + 13", "x": "w + 1", "e": "x + 8", "c": "e + 10", "z": "c + 17", "j": 10}, "premises": {"j": 10}, "target": "d"}, "answer": {"steps": [["q", "j + 15", 25], ["v", "q + 20", 45], ["n", "v + 8", 53], ["k", "n + 11", 64], ["o", "k + 13", 77], ["d", "o + 16", 93]], "target_var_name": "d", "target_value": 93, "value_dict": {"j": 10, "q": 25, "v": 45, "n": 53, "k": 64, "o": 77, "d": 93}, "is_reverse": false}} | 1,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 1; v = q + 20; j = 10; w = h + 13; k = n + 11; h = j + 17; d = o + 16; q = j + 15; n = v + 8; e = x + 8; c = e + 10; z = c + 17; o = k + 13. If j = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = j + 15, which gives q = 25.\n2. Compute v using v = q + 20, which gives v = 45.\n3. Compute n using n = v + 8, which gives n = 53.\n4. Compute k using k = n + 11, which gives k = 64.\n5. Compute o using o = k + 13, which gives o = 77.\n6. Compute d using d = o + 16, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 1045,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 1; v = q + 20; j = 10; w = h + 13; k = n + 11; h = j + 17; d = o + 16; q = j + 15; n = v + 8; e = x + 8; c = e + 10; z = c + 17; o = k + 13. If j = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 1", "o": "i + 5", "n": "o + 13", "u": "n + 17", "a": "u + 16", "j": "a + 8", "d": "b + 16", "f": "d + 7", "c": "f + 5", "e": "c + 12", "k": "e + 19", "p": "k + 7", "b": 14}, "premises": {"b": 14}, "target": "j"}, "answer": {"steps": [["i", "b + 1", 15], ["o", "i + 5", 20], ["n", "o + 13", 33], ["u", "n + 17", 50], ["a", "u + 16", 66], ["j", "a + 8", 74]], "target_var_name": "j", "target_value": 74, "value_dict": {"b": 14, "i": 15, "o": 20, "n": 33, "u": 50, "a": 66, "j": 74}, "is_reverse": false}} | 1,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = c + 12; u = n + 17; d = b + 16; n = o + 13; p = k + 7; k = e + 19; j = a + 8; c = f + 5; a = u + 16; f = d + 7; o = i + 5; i = b + 1; b = 14. Given that b = 14, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = b + 1, which gives i = 15.\n2. Compute o using o = i + 5, which gives o = 20.\n3. Compute n using n = o + 13, which gives n = 33.\n4. Compute u using u = n + 17, which gives u = 50.\n5. Compute a using a = u + 16, which gives a = 66.\n6. Compute j using j = a + 8, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 1046,
"question": "Suppose a collection of variables is related by the following definitions: e = c + 12; u = n + 17; d = b + 16; n = o + 13; p = k + 7; k = e + 19; j = a + 8; c = f + 5; a = u + 16; f = d + 7; o = i + 5; i = b + 1; b = 14. Given that b = 14, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 20", "s": "v + 20", "z": "s + 7", "f": "z + 11", "r": "f + 2", "m": "r + 14", "l": "k + 20", "h": "l + 11", "o": "h + 6", "d": "o + 3", "j": "d + 8", "e": "j + 2", "k": 3}, "premises": {"k": 3}, "target": "m"}, "answer": {"steps": [["v", "k + 20", 23], ["s", "v + 20", 43], ["z", "s + 7", 50], ["f", "z + 11", 61], ["r", "f + 2", 63], ["m", "r + 14", 77]], "target_var_name": "m", "target_value": 77, "value_dict": {"k": 3, "v": 23, "s": 43, "z": 50, "f": 61, "r": 63, "m": 77}, "is_reverse": false}} | 1,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 3; m = r + 14; v = k + 20; s = v + 20; l = k + 20; k = 3; h = l + 11; e = j + 2; j = d + 8; z = s + 7; o = h + 6; f = z + 11; r = f + 2. If k = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = k + 20, which gives v = 23.\n2. Compute s using s = v + 20, which gives s = 43.\n3. Compute z using z = s + 7, which gives z = 50.\n4. Compute f using f = z + 11, which gives f = 61.\n5. Compute r using r = f + 2, which gives r = 63.\n6. Compute m using m = r + 14, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 1047,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 3; m = r + 14; v = k + 20; s = v + 20; l = k + 20; k = 3; h = l + 11; e = j + 2; j = d + 8; z = s + 7; o = h + 6; f = z + 11; r = f + 2. If k = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 3", "e": "g + 11", "p": "e + 18", "v": "p + 10", "j": "v + 18", "n": "j + 6", "x": "k + 9", "c": "x + 17", "h": "c + 8", "w": "h + 9", "d": "w + 16", "q": "d + 10", "k": 2}, "premises": {"k": 2}, "target": "n"}, "answer": {"steps": [["g", "k + 3", 5], ["e", "g + 11", 16], ["p", "e + 18", 34], ["v", "p + 10", 44], ["j", "v + 18", 62], ["n", "j + 6", 68]], "target_var_name": "n", "target_value": 68, "value_dict": {"k": 2, "g": 5, "e": 16, "p": 34, "v": 44, "j": 62, "n": 68}, "is_reverse": false}} | 1,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 9; n = j + 6; c = x + 17; p = e + 18; k = 2; q = d + 10; x = k + 9; j = v + 18; h = c + 8; v = p + 10; d = w + 16; e = g + 11; g = k + 3. Given that k = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = k + 3, which gives g = 5.\n2. Compute e using e = g + 11, which gives e = 16.\n3. Compute p using p = e + 18, which gives p = 34.\n4. Compute v using v = p + 10, which gives v = 44.\n5. Compute j using j = v + 18, which gives j = 62.\n6. Compute n using n = j + 6, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 1048,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 9; n = j + 6; c = x + 17; p = e + 18; k = 2; q = d + 10; x = k + 9; j = v + 18; h = c + 8; v = p + 10; d = w + 16; e = g + 11; g = k + 3. Given that k = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 14", "e": "x + 1", "i": "e + 16", "u": "i + 17", "h": "u + 15", "r": "h + 16", "l": "o + 20", "j": "l + 9", "m": "j + 20", "t": "m + 14", "d": "t + 1", "c": "d + 9", "o": 19}, "premises": {"o": 19}, "target": "r"}, "answer": {"steps": [["x", "o + 14", 33], ["e", "x + 1", 34], ["i", "e + 16", 50], ["u", "i + 17", 67], ["h", "u + 15", 82], ["r", "h + 16", 98]], "target_var_name": "r", "target_value": 98, "value_dict": {"o": 19, "x": 33, "e": 34, "i": 50, "u": 67, "h": 82, "r": 98}, "is_reverse": false}} | 1,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 19; h = u + 15; c = d + 9; d = t + 1; r = h + 16; e = x + 1; t = m + 14; x = o + 14; m = j + 20; j = l + 9; l = o + 20; u = i + 17; i = e + 16. Given that o = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = o + 14, which gives x = 33.\n2. Compute e using e = x + 1, which gives e = 34.\n3. Compute i using i = e + 16, which gives i = 50.\n4. Compute u using u = i + 17, which gives u = 67.\n5. Compute h using h = u + 15, which gives h = 82.\n6. Compute r using r = h + 16, which gives r = 98.\n\nThus, the final answer is r = \\boxed{98}.",
"index": 1049,
"question": "Suppose a collection of variables is related by the following definitions: o = 19; h = u + 15; c = d + 9; d = t + 1; r = h + 16; e = x + 1; t = m + 14; x = o + 14; m = j + 20; j = l + 9; l = o + 20; u = i + 17; i = e + 16. Given that o = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 10", "t": "k + 18", "j": "t + 15", "c": "j + 9", "s": "c + 12", "h": "s + 4", "r": "g + 9", "w": "r + 2", "b": "w + 19", "e": "b + 20", "q": "e + 6", "p": "q + 4", "g": 7}, "premises": {"g": 7}, "target": "h"}, "answer": {"steps": [["k", "g + 10", 17], ["t", "k + 18", 35], ["j", "t + 15", 50], ["c", "j + 9", 59], ["s", "c + 12", 71], ["h", "s + 4", 75]], "target_var_name": "h", "target_value": 75, "value_dict": {"g": 7, "k": 17, "t": 35, "j": 50, "c": 59, "s": 71, "h": 75}, "is_reverse": false}} | 1,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 2; k = g + 10; p = q + 4; r = g + 9; g = 7; q = e + 6; t = k + 18; j = t + 15; c = j + 9; e = b + 20; s = c + 12; b = w + 19; h = s + 4. If g = 7, what is the resulting value of h?",
"role": "user"
... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = g + 10, which gives k = 17.\n2. Compute t using t = k + 18, which gives t = 35.\n3. Compute j using j = t + 15, which gives j = 50.\n4. Compute c using c = j + 9, which gives c = 59.\n5. Compute s using s = c + 12, which gives s = 71.\n6. Compute h using h = s + 4, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 1050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 2; k = g + 10; p = q + 4; r = g + 9; g = 7; q = e + 6; t = k + 18; j = t + 15; c = j + 9; e = b + 20; s = c + 12; b = w + 19; h = s + 4. If g = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"j": "m + 15", "t": "j + 1", "w": "t + 14", "i": "w + 2", "d": "i + 9", "x": "d + 3", "y": "m + 3", "u": "y + 12", "p": "u + 12", "n": "p + 14", "k": "n + 20", "r": "k + 8", "m": 2}, "premises": {"m": 2}, "target": "x"}, "answer": {"steps": [["j", "m + 15", 17], ["t", "j + 1", 18], ["w", "t + 14", 32], ["i", "w + 2", 34], ["d", "i + 9", 43], ["x", "d + 3", 46]], "target_var_name": "x", "target_value": 46, "value_dict": {"m": 2, "j": 17, "t": 18, "w": 32, "i": 34, "d": 43, "x": 46}, "is_reverse": false}} | 1,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 3; n = p + 14; w = t + 14; r = k + 8; i = w + 2; k = n + 20; d = i + 9; j = m + 15; t = j + 1; p = u + 12; y = m + 3; m = 2; u = y + 12. If m = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = m + 15, which gives j = 17.\n2. Compute t using t = j + 1, which gives t = 18.\n3. Compute w using w = t + 14, which gives w = 32.\n4. Compute i using i = w + 2, which gives i = 34.\n5. Compute d using d = i + 9, which gives d = 43.\n6. Compute x using x = d + 3, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 1051,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 3; n = p + 14; w = t + 14; r = k + 8; i = w + 2; k = n + 20; d = i + 9; j = m + 15; t = j + 1; p = u + 12; y = m + 3; m = 2; u = y + 12. If m = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 2", "q": "r + 3", "p": "q + 1", "h": "p + 19", "o": "h + 9", "a": "o + 20", "i": "e + 3", "t": "i + 10", "m": "t + 8", "w": "m + 16", "y": "w + 1", "b": "y + 12", "e": 11}, "premises": {"e": 11}, "target": "a"}, "answer": {"steps": [["r", "e + 2", 13], ["q", "r + 3", 16], ["p", "q + 1", 17], ["h", "p + 19", 36], ["o", "h + 9", 45], ["a", "o + 20", 65]], "target_var_name": "a", "target_value": 65, "value_dict": {"e": 11, "r": 13, "q": 16, "p": 17, "h": 36, "o": 45, "a": 65}, "is_reverse": false}} | 1,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 3; i = e + 3; y = w + 1; o = h + 9; r = e + 2; m = t + 8; w = m + 16; t = i + 10; e = 11; a = o + 20; b = y + 12; h = p + 19; p = q + 1. If e = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = e + 2, which gives r = 13.\n2. Compute q using q = r + 3, which gives q = 16.\n3. Compute p using p = q + 1, which gives p = 17.\n4. Compute h using h = p + 19, which gives h = 36.\n5. Compute o using o = h + 9, which gives o = 45.\n6. Compute a using a = o + 20, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 1052,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 3; i = e + 3; y = w + 1; o = h + 9; r = e + 2; m = t + 8; w = m + 16; t = i + 10; e = 11; a = o + 20; b = y + 12; h = p + 19; p = q + 1. If e = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 6", "o": "l + 9", "n": "o + 9", "z": "n + 4", "d": "z + 9", "q": "d + 17", "x": "m + 19", "b": "x + 12", "u": "b + 19", "r": "u + 16", "e": "r + 20", "v": "e + 19", "m": 18}, "premises": {"m": 18}, "target": "q"}, "answer": {"steps": [["l", "m + 6", 24], ["o", "l + 9", 33], ["n", "o + 9", 42], ["z", "n + 4", 46], ["d", "z + 9", 55], ["q", "d + 17", 72]], "target_var_name": "q", "target_value": 72, "value_dict": {"m": 18, "l": 24, "o": 33, "n": 42, "z": 46, "d": 55, "q": 72}, "is_reverse": false}} | 1,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 19; o = l + 9; b = x + 12; m = 18; x = m + 19; z = n + 4; u = b + 19; d = z + 9; r = u + 16; q = d + 17; n = o + 9; l = m + 6; e = r + 20. Given that m = 18, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = m + 6, which gives l = 24.\n2. Compute o using o = l + 9, which gives o = 33.\n3. Compute n using n = o + 9, which gives n = 42.\n4. Compute z using z = n + 4, which gives z = 46.\n5. Compute d using d = z + 9, which gives d = 55.\n6. Compute q using q = d + 17, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 1053,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 19; o = l + 9; b = x + 12; m = 18; x = m + 19; z = n + 4; u = b + 19; d = z + 9; r = u + 16; q = d + 17; n = o + 9; l = m + 6; e = r + 20. Given that m = 18, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 10", "u": "o + 1", "p": "u + 8", "t": "p + 5", "y": "t + 18", "k": "y + 20", "c": "g + 14", "h": "c + 15", "e": "h + 9", "b": "e + 18", "w": "b + 4", "f": "w + 13", "g": 3}, "premises": {"g": 3}, "target": "k"}, "answer": {"steps": [["o", "g + 10", 13], ["u", "o + 1", 14], ["p", "u + 8", 22], ["t", "p + 5", 27], ["y", "t + 18", 45], ["k", "y + 20", 65]], "target_var_name": "k", "target_value": 65, "value_dict": {"g": 3, "o": 13, "u": 14, "p": 22, "t": 27, "y": 45, "k": 65}, "is_reverse": false}} | 1,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 3; f = w + 13; c = g + 14; t = p + 5; k = y + 20; y = t + 18; e = h + 9; h = c + 15; b = e + 18; p = u + 8; u = o + 1; w = b + 4; o = g + 10. If g = 3, what is the resulting value of k?",
"role": "user"... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = g + 10, which gives o = 13.\n2. Compute u using u = o + 1, which gives u = 14.\n3. Compute p using p = u + 8, which gives p = 22.\n4. Compute t using t = p + 5, which gives t = 27.\n5. Compute y using y = t + 18, which gives y = 45.\n6. Compute k using k = y + 20, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 1054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 3; f = w + 13; c = g + 14; t = p + 5; k = y + 20; y = t + 18; e = h + 9; h = c + 15; b = e + 18; p = u + 8; u = o + 1; w = b + 4; o = g + 10. If g = 3, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 14", "l": "k + 13", "v": "l + 6", "j": "v + 8", "w": "j + 1", "i": "w + 11", "q": "t + 9", "e": "q + 8", "g": "e + 18", "y": "g + 7", "d": "y + 14", "r": "d + 7", "t": 17}, "premises": {"t": 17}, "target": "i"}, "answer": {"steps": [["k", "t + 14", 31], ["l", "k + 13", 44], ["v", "l + 6", 50], ["j", "v + 8", 58], ["w", "j + 1", 59], ["i", "w + 11", 70]], "target_var_name": "i", "target_value": 70, "value_dict": {"t": 17, "k": 31, "l": 44, "v": 50, "j": 58, "w": 59, "i": 70}, "is_reverse": false}} | 1,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 17; d = y + 14; q = t + 9; y = g + 7; k = t + 14; l = k + 13; i = w + 11; v = l + 6; j = v + 8; e = q + 8; r = d + 7; g = e + 18; w = j + 1. If t = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = t + 14, which gives k = 31.\n2. Compute l using l = k + 13, which gives l = 44.\n3. Compute v using v = l + 6, which gives v = 50.\n4. Compute j using j = v + 8, which gives j = 58.\n5. Compute w using w = j + 1, which gives w = 59.\n6. Compute i using i = w + 11, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 1055,
"question": "Consider a system of variables where each variable is defined as follows: t = 17; d = y + 14; q = t + 9; y = g + 7; k = t + 14; l = k + 13; i = w + 11; v = l + 6; j = v + 8; e = q + 8; r = d + 7; g = e + 18; w = j + 1. If t = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 8", "t": "y + 16", "r": "t + 3", "v": "r + 19", "a": "v + 17", "d": "a + 19", "q": "k + 13", "h": "q + 4", "e": "h + 7", "z": "e + 13", "o": "z + 8", "m": "o + 3", "k": 11}, "premises": {"k": 11}, "target": "d"}, "answer": {"steps": [["y", "k + 8", 19], ["t", "y + 16", 35], ["r", "t + 3", 38], ["v", "r + 19", 57], ["a", "v + 17", 74], ["d", "a + 19", 93]], "target_var_name": "d", "target_value": 93, "value_dict": {"k": 11, "y": 19, "t": 35, "r": 38, "v": 57, "a": 74, "d": 93}, "is_reverse": false}} | 1,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = 11; e = h + 7; t = y + 16; v = r + 19; h = q + 4; q = k + 13; a = v + 17; d = a + 19; y = k + 8; r = t + 3; m = o + 3; o = z + 8; z = e + 13. If k = 11, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = k + 8, which gives y = 19.\n2. Compute t using t = y + 16, which gives t = 35.\n3. Compute r using r = t + 3, which gives r = 38.\n4. Compute v using v = r + 19, which gives v = 57.\n5. Compute a using a = v + 17, which gives a = 74.\n6. Compute d using d = a + 19, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 1056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 11; e = h + 7; t = y + 16; v = r + 19; h = q + 4; q = k + 13; a = v + 17; d = a + 19; y = k + 8; r = t + 3; m = o + 3; o = z + 8; z = e + 13. If k = 11, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 17", "b": "m + 2", "p": "b + 16", "f": "p + 17", "w": "f + 3", "l": "w + 12", "y": "i + 20", "v": "y + 16", "a": "v + 14", "u": "a + 18", "e": "u + 17", "g": "e + 20", "i": 9}, "premises": {"i": 9}, "target": "l"}, "answer": {"steps": [["m", "i + 17", 26], ["b", "m + 2", 28], ["p", "b + 16", 44], ["f", "p + 17", 61], ["w", "f + 3", 64], ["l", "w + 12", 76]], "target_var_name": "l", "target_value": 76, "value_dict": {"i": 9, "m": 26, "b": 28, "p": 44, "f": 61, "w": 64, "l": 76}, "is_reverse": false}} | 1,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 20; v = y + 16; i = 9; e = u + 17; u = a + 18; p = b + 16; m = i + 17; b = m + 2; y = i + 20; f = p + 17; l = w + 12; a = v + 14; w = f + 3. If i = 9, what is the resulting value of l?",
"role": "us... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = i + 17, which gives m = 26.\n2. Compute b using b = m + 2, which gives b = 28.\n3. Compute p using p = b + 16, which gives p = 44.\n4. Compute f using f = p + 17, which gives f = 61.\n5. Compute w using w = f + 3, which gives w = 64.\n6. Compute l using l = w + 12, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 1057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 20; v = y + 16; i = 9; e = u + 17; u = a + 18; p = b + 16; m = i + 17; b = m + 2; y = i + 20; f = p + 17; l = w + 12; a = v + 14; w = f + 3. If i = 9, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 11", "d": "n + 7", "z": "d + 10", "g": "z + 6", "e": "g + 8", "v": "e + 13", "a": "l + 5", "u": "a + 18", "q": "u + 3", "i": "q + 5", "c": "i + 14", "o": "c + 12", "l": 16}, "premises": {"l": 16}, "target": "v"}, "answer": {"steps": [["n", "l + 11", 27], ["d", "n + 7", 34], ["z", "d + 10", 44], ["g", "z + 6", 50], ["e", "g + 8", 58], ["v", "e + 13", 71]], "target_var_name": "v", "target_value": 71, "value_dict": {"l": 16, "n": 27, "d": 34, "z": 44, "g": 50, "e": 58, "v": 71}, "is_reverse": false}} | 1,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 13; i = q + 5; g = z + 6; d = n + 7; z = d + 10; q = u + 3; c = i + 14; a = l + 5; n = l + 11; o = c + 12; l = 16; e = g + 8; u = a + 18. If l = 16, what is the resulting value of v?",
"role": "user... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = l + 11, which gives n = 27.\n2. Compute d using d = n + 7, which gives d = 34.\n3. Compute z using z = d + 10, which gives z = 44.\n4. Compute g using g = z + 6, which gives g = 50.\n5. Compute e using e = g + 8, which gives e = 58.\n6. Compute v using v = e + 13, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 1058,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 13; i = q + 5; g = z + 6; d = n + 7; z = d + 10; q = u + 3; c = i + 14; a = l + 5; n = l + 11; o = c + 12; l = 16; e = g + 8; u = a + 18. If l = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 2", "i": "v + 2", "b": "i + 18", "a": "b + 18", "t": "a + 1", "u": "t + 1", "n": "w + 2", "y": "n + 10", "d": "y + 16", "c": "d + 20", "s": "c + 16", "g": "s + 2", "w": 5}, "premises": {"w": 5}, "target": "u"}, "answer": {"steps": [["v", "w + 2", 7], ["i", "v + 2", 9], ["b", "i + 18", 27], ["a", "b + 18", 45], ["t", "a + 1", 46], ["u", "t + 1", 47]], "target_var_name": "u", "target_value": 47, "value_dict": {"w": 5, "v": 7, "i": 9, "b": 27, "a": 45, "t": 46, "u": 47}, "is_reverse": false}} | 1,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 20; w = 5; u = t + 1; d = y + 16; g = s + 2; a = b + 18; s = c + 16; b = i + 18; y = n + 10; i = v + 2; v = w + 2; n = w + 2; t = a + 1. If w = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = w + 2, which gives v = 7.\n2. Compute i using i = v + 2, which gives i = 9.\n3. Compute b using b = i + 18, which gives b = 27.\n4. Compute a using a = b + 18, which gives a = 45.\n5. Compute t using t = a + 1, which gives t = 46.\n6. Compute u using u = t + 1, which gives u = 47.\n\nThus, the final answer is u = \\boxed{47}.",
"index": 1059,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 20; w = 5; u = t + 1; d = y + 16; g = s + 2; a = b + 18; s = c + 16; b = i + 18; y = n + 10; i = v + 2; v = w + 2; n = w + 2; t = a + 1. If w = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 5", "u": "y + 10", "e": "u + 9", "f": "e + 16", "i": "f + 18", "t": "i + 17", "c": "q + 14", "m": "c + 16", "d": "m + 14", "p": "d + 15", "n": "p + 9", "g": "n + 18", "q": 5}, "premises": {"q": 5}, "target": "t"}, "answer": {"steps": [["y", "q + 5", 10], ["u", "y + 10", 20], ["e", "u + 9", 29], ["f", "e + 16", 45], ["i", "f + 18", 63], ["t", "i + 17", 80]], "target_var_name": "t", "target_value": 80, "value_dict": {"q": 5, "y": 10, "u": 20, "e": 29, "f": 45, "i": 63, "t": 80}, "is_reverse": false}} | 1,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 14; i = f + 18; t = i + 17; g = n + 18; f = e + 16; m = c + 16; n = p + 9; u = y + 10; e = u + 9; y = q + 5; d = m + 14; p = d + 15; q = 5. Given that q = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = q + 5, which gives y = 10.\n2. Compute u using u = y + 10, which gives u = 20.\n3. Compute e using e = u + 9, which gives e = 29.\n4. Compute f using f = e + 16, which gives f = 45.\n5. Compute i using i = f + 18, which gives i = 63.\n6. Compute t using t = i + 17, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 1060,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 14; i = f + 18; t = i + 17; g = n + 18; f = e + 16; m = c + 16; n = p + 9; u = y + 10; e = u + 9; y = q + 5; d = m + 14; p = d + 15; q = 5. Given that q = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 13", "i": "s + 9", "h": "i + 15", "g": "h + 18", "y": "g + 5", "o": "y + 13", "q": "n + 9", "r": "q + 15", "f": "r + 17", "d": "f + 10", "t": "d + 8", "u": "t + 20", "n": 16}, "premises": {"n": 16}, "target": "o"}, "answer": {"steps": [["s", "n + 13", 29], ["i", "s + 9", 38], ["h", "i + 15", 53], ["g", "h + 18", 71], ["y", "g + 5", 76], ["o", "y + 13", 89]], "target_var_name": "o", "target_value": 89, "value_dict": {"n": 16, "s": 29, "i": 38, "h": 53, "g": 71, "y": 76, "o": 89}, "is_reverse": false}} | 1,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 9; t = d + 8; g = h + 18; h = i + 15; o = y + 13; d = f + 10; u = t + 20; r = q + 15; y = g + 5; n = 16; i = s + 9; f = r + 17; s = n + 13. If n = 16, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = n + 13, which gives s = 29.\n2. Compute i using i = s + 9, which gives i = 38.\n3. Compute h using h = i + 15, which gives h = 53.\n4. Compute g using g = h + 18, which gives g = 71.\n5. Compute y using y = g + 5, which gives y = 76.\n6. Compute o using o = y + 13, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 1061,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 9; t = d + 8; g = h + 18; h = i + 15; o = y + 13; d = f + 10; u = t + 20; r = q + 15; y = g + 5; n = 16; i = s + 9; f = r + 17; s = n + 13. If n = 16, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 13", "s": "h + 4", "x": "s + 13", "n": "x + 1", "v": "n + 13", "i": "v + 9", "g": "e + 4", "q": "g + 9", "f": "q + 17", "p": "f + 8", "y": "p + 7", "t": "y + 2", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["h", "e + 13", 30], ["s", "h + 4", 34], ["x", "s + 13", 47], ["n", "x + 1", 48], ["v", "n + 13", 61], ["i", "v + 9", 70]], "target_var_name": "i", "target_value": 70, "value_dict": {"e": 17, "h": 30, "s": 34, "x": 47, "n": 48, "v": 61, "i": 70}, "is_reverse": false}} | 1,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 4; i = v + 9; g = e + 4; v = n + 13; e = 17; x = s + 13; y = p + 7; p = f + 8; h = e + 13; f = q + 17; q = g + 9; n = x + 1; t = y + 2. If e = 17, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = e + 13, which gives h = 30.\n2. Compute s using s = h + 4, which gives s = 34.\n3. Compute x using x = s + 13, which gives x = 47.\n4. Compute n using n = x + 1, which gives n = 48.\n5. Compute v using v = n + 13, which gives v = 61.\n6. Compute i using i = v + 9, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 1062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 4; i = v + 9; g = e + 4; v = n + 13; e = 17; x = s + 13; y = p + 7; p = f + 8; h = e + 13; f = q + 17; q = g + 9; n = x + 1; t = y + 2. If e = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 7", "a": "t + 8", "b": "a + 6", "g": "b + 18", "z": "g + 16", "o": "z + 8", "k": "c + 8", "s": "k + 14", "p": "s + 19", "m": "p + 12", "n": "m + 13", "j": "n + 16", "c": 9}, "premises": {"c": 9}, "target": "o"}, "answer": {"steps": [["t", "c + 7", 16], ["a", "t + 8", 24], ["b", "a + 6", 30], ["g", "b + 18", 48], ["z", "g + 16", 64], ["o", "z + 8", 72]], "target_var_name": "o", "target_value": 72, "value_dict": {"c": 9, "t": 16, "a": 24, "b": 30, "g": 48, "z": 64, "o": 72}, "is_reverse": false}} | 1,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = g + 16; c = 9; o = z + 8; m = p + 12; p = s + 19; j = n + 16; k = c + 8; n = m + 13; s = k + 14; b = a + 6; g = b + 18; t = c + 7; a = t + 8. If c = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = c + 7, which gives t = 16.\n2. Compute a using a = t + 8, which gives a = 24.\n3. Compute b using b = a + 6, which gives b = 30.\n4. Compute g using g = b + 18, which gives g = 48.\n5. Compute z using z = g + 16, which gives z = 64.\n6. Compute o using o = z + 8, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 1063,
"question": "Consider a system of variables where each variable is defined as follows: z = g + 16; c = 9; o = z + 8; m = p + 12; p = s + 19; j = n + 16; k = c + 8; n = m + 13; s = k + 14; b = a + 6; g = b + 18; t = c + 7; a = t + 8. If c = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 9", "f": "j + 19", "d": "f + 8", "r": "d + 13", "k": "r + 5", "a": "k + 2", "q": "h + 9", "b": "q + 14", "g": "b + 14", "o": "g + 12", "t": "o + 15", "m": "t + 2", "h": 9}, "premises": {"h": 9}, "target": "a"}, "answer": {"steps": [["j", "h + 9", 18], ["f", "j + 19", 37], ["d", "f + 8", 45], ["r", "d + 13", 58], ["k", "r + 5", 63], ["a", "k + 2", 65]], "target_var_name": "a", "target_value": 65, "value_dict": {"h": 9, "j": 18, "f": 37, "d": 45, "r": 58, "k": 63, "a": 65}, "is_reverse": false}} | 1,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 2; r = d + 13; h = 9; g = b + 14; m = t + 2; d = f + 8; q = h + 9; o = g + 12; f = j + 19; k = r + 5; t = o + 15; j = h + 9; b = q + 14. Given that h = 9, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = h + 9, which gives j = 18.\n2. Compute f using f = j + 19, which gives f = 37.\n3. Compute d using d = f + 8, which gives d = 45.\n4. Compute r using r = d + 13, which gives r = 58.\n5. Compute k using k = r + 5, which gives k = 63.\n6. Compute a using a = k + 2, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 1064,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 2; r = d + 13; h = 9; g = b + 14; m = t + 2; d = f + 8; q = h + 9; o = g + 12; f = j + 19; k = r + 5; t = o + 15; j = h + 9; b = q + 14. Given that h = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 4", "k": "h + 13", "x": "k + 3", "v": "x + 14", "s": "v + 2", "l": "s + 20", "a": "e + 16", "w": "a + 14", "b": "w + 6", "p": "b + 17", "i": "p + 11", "y": "i + 19", "e": 6}, "premises": {"e": 6}, "target": "l"}, "answer": {"steps": [["h", "e + 4", 10], ["k", "h + 13", 23], ["x", "k + 3", 26], ["v", "x + 14", 40], ["s", "v + 2", 42], ["l", "s + 20", 62]], "target_var_name": "l", "target_value": 62, "value_dict": {"e": 6, "h": 10, "k": 23, "x": 26, "v": 40, "s": 42, "l": 62}, "is_reverse": false}} | 1,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 17; i = p + 11; e = 6; k = h + 13; l = s + 20; h = e + 4; s = v + 2; v = x + 14; x = k + 3; a = e + 16; w = a + 14; y = i + 19; b = w + 6. If e = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = e + 4, which gives h = 10.\n2. Compute k using k = h + 13, which gives k = 23.\n3. Compute x using x = k + 3, which gives x = 26.\n4. Compute v using v = x + 14, which gives v = 40.\n5. Compute s using s = v + 2, which gives s = 42.\n6. Compute l using l = s + 20, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 1065,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 17; i = p + 11; e = 6; k = h + 13; l = s + 20; h = e + 4; s = v + 2; v = x + 14; x = k + 3; a = e + 16; w = a + 14; y = i + 19; b = w + 6. If e = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 7", "m": "o + 16", "d": "m + 10", "e": "d + 9", "i": "e + 3", "p": "i + 3", "y": "f + 2", "h": "y + 20", "z": "h + 15", "q": "z + 13", "s": "q + 19", "c": "s + 7", "f": 3}, "premises": {"f": 3}, "target": "p"}, "answer": {"steps": [["o", "f + 7", 10], ["m", "o + 16", 26], ["d", "m + 10", 36], ["e", "d + 9", 45], ["i", "e + 3", 48], ["p", "i + 3", 51]], "target_var_name": "p", "target_value": 51, "value_dict": {"f": 3, "o": 10, "m": 26, "d": 36, "e": 45, "i": 48, "p": 51}, "is_reverse": false}} | 1,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 19; q = z + 13; f = 3; y = f + 2; z = h + 15; d = m + 10; e = d + 9; h = y + 20; p = i + 3; c = s + 7; m = o + 16; i = e + 3; o = f + 7. If f = 3, what is the resulting value of p?",
"role": "user"
... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = f + 7, which gives o = 10.\n2. Compute m using m = o + 16, which gives m = 26.\n3. Compute d using d = m + 10, which gives d = 36.\n4. Compute e using e = d + 9, which gives e = 45.\n5. Compute i using i = e + 3, which gives i = 48.\n6. Compute p using p = i + 3, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 1066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 19; q = z + 13; f = 3; y = f + 2; z = h + 15; d = m + 10; e = d + 9; h = y + 20; p = i + 3; c = s + 7; m = o + 16; i = e + 3; o = f + 7. If f = 3, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 14", "q": "n + 4", "y": "q + 15", "c": "y + 13", "m": "c + 20", "o": "m + 6", "w": "z + 20", "j": "w + 17", "t": "j + 4", "k": "t + 1", "i": "k + 16", "p": "i + 8", "z": 12}, "premises": {"z": 12}, "target": "o"}, "answer": {"steps": [["n", "z + 14", 26], ["q", "n + 4", 30], ["y", "q + 15", 45], ["c", "y + 13", 58], ["m", "c + 20", 78], ["o", "m + 6", 84]], "target_var_name": "o", "target_value": 84, "value_dict": {"z": 12, "n": 26, "q": 30, "y": 45, "c": 58, "m": 78, "o": 84}, "is_reverse": false}} | 1,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 13; w = z + 20; t = j + 4; p = i + 8; y = q + 15; j = w + 17; o = m + 6; q = n + 4; n = z + 14; k = t + 1; i = k + 16; z = 12; m = c + 20. Given that z = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = z + 14, which gives n = 26.\n2. Compute q using q = n + 4, which gives q = 30.\n3. Compute y using y = q + 15, which gives y = 45.\n4. Compute c using c = y + 13, which gives c = 58.\n5. Compute m using m = c + 20, which gives m = 78.\n6. Compute o using o = m + 6, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 1067,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 13; w = z + 20; t = j + 4; p = i + 8; y = q + 15; j = w + 17; o = m + 6; q = n + 4; n = z + 14; k = t + 1; i = k + 16; z = 12; m = c + 20. Given that z = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 11", "i": "g + 13", "w": "i + 4", "b": "w + 19", "z": "b + 10", "l": "z + 1", "q": "j + 1", "e": "q + 2", "v": "e + 14", "p": "v + 4", "y": "p + 5", "h": "y + 10", "j": 2}, "premises": {"j": 2}, "target": "l"}, "answer": {"steps": [["g", "j + 11", 13], ["i", "g + 13", 26], ["w", "i + 4", 30], ["b", "w + 19", 49], ["z", "b + 10", 59], ["l", "z + 1", 60]], "target_var_name": "l", "target_value": 60, "value_dict": {"j": 2, "g": 13, "i": 26, "w": 30, "b": 49, "z": 59, "l": 60}, "is_reverse": false}} | 1,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 2; g = j + 11; b = w + 19; i = g + 13; v = e + 14; l = z + 1; p = v + 4; w = i + 4; e = q + 2; y = p + 5; z = b + 10; q = j + 1; h = y + 10. If j = 2, what is the resulting value of l?",
"role": "user"
... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = j + 11, which gives g = 13.\n2. Compute i using i = g + 13, which gives i = 26.\n3. Compute w using w = i + 4, which gives w = 30.\n4. Compute b using b = w + 19, which gives b = 49.\n5. Compute z using z = b + 10, which gives z = 59.\n6. Compute l using l = z + 1, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 1068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 2; g = j + 11; b = w + 19; i = g + 13; v = e + 14; l = z + 1; p = v + 4; w = i + 4; e = q + 2; y = p + 5; z = b + 10; q = j + 1; h = y + 10. If j = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 5", "w": "t + 12", "d": "w + 3", "e": "d + 7", "p": "e + 4", "v": "p + 11", "i": "u + 3", "l": "i + 20", "s": "l + 4", "y": "s + 15", "k": "y + 6", "q": "k + 20", "u": 20}, "premises": {"u": 20}, "target": "v"}, "answer": {"steps": [["t", "u + 5", 25], ["w", "t + 12", 37], ["d", "w + 3", 40], ["e", "d + 7", 47], ["p", "e + 4", 51], ["v", "p + 11", 62]], "target_var_name": "v", "target_value": 62, "value_dict": {"u": 20, "t": 25, "w": 37, "d": 40, "e": 47, "p": 51, "v": 62}, "is_reverse": false}} | 1,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = s + 15; d = w + 3; i = u + 3; e = d + 7; l = i + 20; w = t + 12; k = y + 6; s = l + 4; u = 20; q = k + 20; v = p + 11; t = u + 5; p = e + 4. Given that u = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = u + 5, which gives t = 25.\n2. Compute w using w = t + 12, which gives w = 37.\n3. Compute d using d = w + 3, which gives d = 40.\n4. Compute e using e = d + 7, which gives e = 47.\n5. Compute p using p = e + 4, which gives p = 51.\n6. Compute v using v = p + 11, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 1069,
"question": "Suppose a collection of variables is related by the following definitions: y = s + 15; d = w + 3; i = u + 3; e = d + 7; l = i + 20; w = t + 12; k = y + 6; s = l + 4; u = 20; q = k + 20; v = p + 11; t = u + 5; p = e + 4. Given that u = 20, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 20", "x": "m + 12", "a": "x + 2", "j": "a + 6", "f": "j + 5", "y": "f + 19", "e": "h + 2", "q": "e + 16", "u": "q + 5", "z": "u + 17", "b": "z + 3", "n": "b + 18", "h": 15}, "premises": {"h": 15}, "target": "y"}, "answer": {"steps": [["m", "h + 20", 35], ["x", "m + 12", 47], ["a", "x + 2", 49], ["j", "a + 6", 55], ["f", "j + 5", 60], ["y", "f + 19", 79]], "target_var_name": "y", "target_value": 79, "value_dict": {"h": 15, "m": 35, "x": 47, "a": 49, "j": 55, "f": 60, "y": 79}, "is_reverse": false}} | 1,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = f + 19; x = m + 12; h = 15; n = b + 18; f = j + 5; q = e + 16; b = z + 3; u = q + 5; a = x + 2; e = h + 2; z = u + 17; j = a + 6; m = h + 20. If h = 15, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = h + 20, which gives m = 35.\n2. Compute x using x = m + 12, which gives x = 47.\n3. Compute a using a = x + 2, which gives a = 49.\n4. Compute j using j = a + 6, which gives j = 55.\n5. Compute f using f = j + 5, which gives f = 60.\n6. Compute y using y = f + 19, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 1070,
"question": "Consider a system of variables where each variable is defined as follows: y = f + 19; x = m + 12; h = 15; n = b + 18; f = j + 5; q = e + 16; b = z + 3; u = q + 5; a = x + 2; e = h + 2; z = u + 17; j = a + 6; m = h + 20. If h = 15, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 6", "b": "s + 3", "u": "b + 9", "r": "u + 10", "a": "r + 8", "n": "a + 13", "k": "i + 9", "x": "k + 18", "y": "x + 1", "q": "y + 3", "j": "q + 20", "h": "j + 17", "i": 10}, "premises": {"i": 10}, "target": "n"}, "answer": {"steps": [["s", "i + 6", 16], ["b", "s + 3", 19], ["u", "b + 9", 28], ["r", "u + 10", 38], ["a", "r + 8", 46], ["n", "a + 13", 59]], "target_var_name": "n", "target_value": 59, "value_dict": {"i": 10, "s": 16, "b": 19, "u": 28, "r": 38, "a": 46, "n": 59}, "is_reverse": false}} | 1,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 13; k = i + 9; j = q + 20; i = 10; q = y + 3; y = x + 1; s = i + 6; a = r + 8; r = u + 10; u = b + 9; x = k + 18; b = s + 3; h = j + 17. If i = 10, what is the resulting value of n?",
"role": "user"... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = i + 6, which gives s = 16.\n2. Compute b using b = s + 3, which gives b = 19.\n3. Compute u using u = b + 9, which gives u = 28.\n4. Compute r using r = u + 10, which gives r = 38.\n5. Compute a using a = r + 8, which gives a = 46.\n6. Compute n using n = a + 13, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 1071,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 13; k = i + 9; j = q + 20; i = 10; q = y + 3; y = x + 1; s = i + 6; a = r + 8; r = u + 10; u = b + 9; x = k + 18; b = s + 3; h = j + 17. If i = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 19", "k": "y + 2", "l": "k + 4", "c": "l + 3", "a": "c + 2", "s": "a + 14", "h": "d + 4", "w": "h + 18", "m": "w + 11", "i": "m + 9", "q": "i + 5", "z": "q + 11", "d": 6}, "premises": {"d": 6}, "target": "s"}, "answer": {"steps": [["y", "d + 19", 25], ["k", "y + 2", 27], ["l", "k + 4", 31], ["c", "l + 3", 34], ["a", "c + 2", 36], ["s", "a + 14", 50]], "target_var_name": "s", "target_value": 50, "value_dict": {"d": 6, "y": 25, "k": 27, "l": 31, "c": 34, "a": 36, "s": 50}, "is_reverse": false}} | 1,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 11; w = h + 18; s = a + 14; m = w + 11; d = 6; l = k + 4; k = y + 2; y = d + 19; c = l + 3; q = i + 5; i = m + 9; a = c + 2; h = d + 4. If d = 6, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = d + 19, which gives y = 25.\n2. Compute k using k = y + 2, which gives k = 27.\n3. Compute l using l = k + 4, which gives l = 31.\n4. Compute c using c = l + 3, which gives c = 34.\n5. Compute a using a = c + 2, which gives a = 36.\n6. Compute s using s = a + 14, which gives s = 50.\n\nThus, the final answer is s = \\boxed{50}.",
"index": 1072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 11; w = h + 18; s = a + 14; m = w + 11; d = 6; l = k + 4; k = y + 2; y = d + 19; c = l + 3; q = i + 5; i = m + 9; a = c + 2; h = d + 4. If d = 6, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 18", "y": "o + 5", "s": "y + 17", "m": "s + 11", "b": "m + 3", "t": "b + 9", "e": "u + 19", "r": "e + 16", "i": "r + 19", "q": "i + 13", "a": "q + 10", "f": "a + 20", "u": 4}, "premises": {"u": 4}, "target": "t"}, "answer": {"steps": [["o", "u + 18", 22], ["y", "o + 5", 27], ["s", "y + 17", 44], ["m", "s + 11", 55], ["b", "m + 3", 58], ["t", "b + 9", 67]], "target_var_name": "t", "target_value": 67, "value_dict": {"u": 4, "o": 22, "y": 27, "s": 44, "m": 55, "b": 58, "t": 67}, "is_reverse": false}} | 1,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 11; a = q + 10; s = y + 17; t = b + 9; r = e + 16; i = r + 19; q = i + 13; u = 4; b = m + 3; f = a + 20; y = o + 5; e = u + 19; o = u + 18. Given that u = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = u + 18, which gives o = 22.\n2. Compute y using y = o + 5, which gives y = 27.\n3. Compute s using s = y + 17, which gives s = 44.\n4. Compute m using m = s + 11, which gives m = 55.\n5. Compute b using b = m + 3, which gives b = 58.\n6. Compute t using t = b + 9, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 1073,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 11; a = q + 10; s = y + 17; t = b + 9; r = e + 16; i = r + 19; q = i + 13; u = 4; b = m + 3; f = a + 20; y = o + 5; e = u + 19; o = u + 18. Given that u = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 2", "x": "r + 9", "z": "x + 4", "v": "z + 13", "k": "v + 16", "o": "k + 6", "h": "t + 9", "a": "h + 18", "d": "a + 6", "l": "d + 12", "u": "l + 10", "p": "u + 19", "t": 1}, "premises": {"t": 1}, "target": "o"}, "answer": {"steps": [["r", "t + 2", 3], ["x", "r + 9", 12], ["z", "x + 4", 16], ["v", "z + 13", 29], ["k", "v + 16", 45], ["o", "k + 6", 51]], "target_var_name": "o", "target_value": 51, "value_dict": {"t": 1, "r": 3, "x": 12, "z": 16, "v": 29, "k": 45, "o": 51}, "is_reverse": false}} | 1,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 6; a = h + 18; x = r + 9; o = k + 6; z = x + 4; t = 1; h = t + 9; k = v + 16; r = t + 2; v = z + 13; p = u + 19; u = l + 10; l = d + 12. If t = 1, what is the resulting value of o?",
"role": "user"
... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = t + 2, which gives r = 3.\n2. Compute x using x = r + 9, which gives x = 12.\n3. Compute z using z = x + 4, which gives z = 16.\n4. Compute v using v = z + 13, which gives v = 29.\n5. Compute k using k = v + 16, which gives k = 45.\n6. Compute o using o = k + 6, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 1074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 6; a = h + 18; x = r + 9; o = k + 6; z = x + 4; t = 1; h = t + 9; k = v + 16; r = t + 2; v = z + 13; p = u + 19; u = l + 10; l = d + 12. If t = 1, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 17", "s": "o + 10", "v": "s + 9", "h": "v + 9", "d": "h + 9", "r": "d + 20", "z": "j + 3", "y": "z + 10", "n": "y + 7", "q": "n + 18", "b": "q + 15", "p": "b + 19", "j": 9}, "premises": {"j": 9}, "target": "r"}, "answer": {"steps": [["o", "j + 17", 26], ["s", "o + 10", 36], ["v", "s + 9", 45], ["h", "v + 9", 54], ["d", "h + 9", 63], ["r", "d + 20", 83]], "target_var_name": "r", "target_value": 83, "value_dict": {"j": 9, "o": 26, "s": 36, "v": 45, "h": 54, "d": 63, "r": 83}, "is_reverse": false}} | 1,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 17; q = n + 18; z = j + 3; b = q + 15; h = v + 9; r = d + 20; y = z + 10; j = 9; v = s + 9; d = h + 9; s = o + 10; n = y + 7; p = b + 19. If j = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = j + 17, which gives o = 26.\n2. Compute s using s = o + 10, which gives s = 36.\n3. Compute v using v = s + 9, which gives v = 45.\n4. Compute h using h = v + 9, which gives h = 54.\n5. Compute d using d = h + 9, which gives d = 63.\n6. Compute r using r = d + 20, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 1075,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 17; q = n + 18; z = j + 3; b = q + 15; h = v + 9; r = d + 20; y = z + 10; j = 9; v = s + 9; d = h + 9; s = o + 10; n = y + 7; p = b + 19. If j = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 5", "w": "z + 4", "y": "w + 4", "p": "y + 11", "b": "p + 6", "c": "b + 13", "e": "u + 20", "o": "e + 1", "q": "o + 14", "x": "q + 2", "v": "x + 17", "a": "v + 6", "u": 17}, "premises": {"u": 17}, "target": "c"}, "answer": {"steps": [["z", "u + 5", 22], ["w", "z + 4", 26], ["y", "w + 4", 30], ["p", "y + 11", 41], ["b", "p + 6", 47], ["c", "b + 13", 60]], "target_var_name": "c", "target_value": 60, "value_dict": {"u": 17, "z": 22, "w": 26, "y": 30, "p": 41, "b": 47, "c": 60}, "is_reverse": false}} | 1,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 4; v = x + 17; c = b + 13; e = u + 20; u = 17; q = o + 14; z = u + 5; y = w + 4; o = e + 1; x = q + 2; b = p + 6; a = v + 6; p = y + 11. If u = 17, what is the resulting value of c?",
"role": "user"... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = u + 5, which gives z = 22.\n2. Compute w using w = z + 4, which gives w = 26.\n3. Compute y using y = w + 4, which gives y = 30.\n4. Compute p using p = y + 11, which gives p = 41.\n5. Compute b using b = p + 6, which gives b = 47.\n6. Compute c using c = b + 13, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 1076,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 4; v = x + 17; c = b + 13; e = u + 20; u = 17; q = o + 14; z = u + 5; y = w + 4; o = e + 1; x = q + 2; b = p + 6; a = v + 6; p = y + 11. If u = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 20", "u": "b + 13", "e": "u + 16", "i": "e + 7", "o": "i + 14", "j": "o + 11", "l": "w + 9", "t": "l + 8", "c": "t + 8", "v": "c + 8", "p": "v + 9", "y": "p + 11", "w": 3}, "premises": {"w": 3}, "target": "j"}, "answer": {"steps": [["b", "w + 20", 23], ["u", "b + 13", 36], ["e", "u + 16", 52], ["i", "e + 7", 59], ["o", "i + 14", 73], ["j", "o + 11", 84]], "target_var_name": "j", "target_value": 84, "value_dict": {"w": 3, "b": 23, "u": 36, "e": 52, "i": 59, "o": 73, "j": 84}, "is_reverse": false}} | 1,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 9; i = e + 7; j = o + 11; b = w + 20; l = w + 9; u = b + 13; e = u + 16; c = t + 8; w = 3; o = i + 14; t = l + 8; v = c + 8; y = p + 11. If w = 3, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = w + 20, which gives b = 23.\n2. Compute u using u = b + 13, which gives u = 36.\n3. Compute e using e = u + 16, which gives e = 52.\n4. Compute i using i = e + 7, which gives i = 59.\n5. Compute o using o = i + 14, which gives o = 73.\n6. Compute j using j = o + 11, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 1077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 9; i = e + 7; j = o + 11; b = w + 20; l = w + 9; u = b + 13; e = u + 16; c = t + 8; w = 3; o = i + 14; t = l + 8; v = c + 8; y = p + 11. If w = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 2", "y": "k + 19", "x": "y + 2", "h": "x + 12", "i": "h + 4", "o": "i + 9", "u": "q + 3", "w": "u + 13", "p": "w + 14", "r": "p + 15", "m": "r + 18", "z": "m + 11", "q": 9}, "premises": {"q": 9}, "target": "o"}, "answer": {"steps": [["k", "q + 2", 11], ["y", "k + 19", 30], ["x", "y + 2", 32], ["h", "x + 12", 44], ["i", "h + 4", 48], ["o", "i + 9", 57]], "target_var_name": "o", "target_value": 57, "value_dict": {"q": 9, "k": 11, "y": 30, "x": 32, "h": 44, "i": 48, "o": 57}, "is_reverse": false}} | 1,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 18; p = w + 14; k = q + 2; w = u + 13; o = i + 9; q = 9; i = h + 4; r = p + 15; y = k + 19; u = q + 3; h = x + 12; x = y + 2; z = m + 11. If q = 9, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = q + 2, which gives k = 11.\n2. Compute y using y = k + 19, which gives y = 30.\n3. Compute x using x = y + 2, which gives x = 32.\n4. Compute h using h = x + 12, which gives h = 44.\n5. Compute i using i = h + 4, which gives i = 48.\n6. Compute o using o = i + 9, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 1078,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = r + 18; p = w + 14; k = q + 2; w = u + 13; o = i + 9; q = 9; i = h + 4; r = p + 15; y = k + 19; u = q + 3; h = x + 12; x = y + 2; z = m + 11. If q = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 20", "p": "x + 17", "m": "p + 16", "t": "m + 11", "b": "t + 2", "f": "b + 13", "a": "e + 9", "k": "a + 6", "y": "k + 17", "g": "y + 10", "i": "g + 13", "o": "i + 10", "e": 4}, "premises": {"e": 4}, "target": "f"}, "answer": {"steps": [["x", "e + 20", 24], ["p", "x + 17", 41], ["m", "p + 16", 57], ["t", "m + 11", 68], ["b", "t + 2", 70], ["f", "b + 13", 83]], "target_var_name": "f", "target_value": 83, "value_dict": {"e": 4, "x": 24, "p": 41, "m": 57, "t": 68, "b": 70, "f": 83}, "is_reverse": false}} | 1,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 13; a = e + 9; p = x + 17; t = m + 11; x = e + 20; f = b + 13; o = i + 10; k = a + 6; b = t + 2; g = y + 10; e = 4; y = k + 17; m = p + 16. Given that e = 4, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = e + 20, which gives x = 24.\n2. Compute p using p = x + 17, which gives p = 41.\n3. Compute m using m = p + 16, which gives m = 57.\n4. Compute t using t = m + 11, which gives t = 68.\n5. Compute b using b = t + 2, which gives b = 70.\n6. Compute f using f = b + 13, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 1079,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 13; a = e + 9; p = x + 17; t = m + 11; x = e + 20; f = b + 13; o = i + 10; k = a + 6; b = t + 2; g = y + 10; e = 4; y = k + 17; m = p + 16. Given that e = 4, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 19", "b": "q + 18", "r": "b + 3", "y": "r + 17", "s": "y + 8", "u": "s + 19", "x": "k + 2", "h": "x + 13", "a": "h + 9", "w": "a + 3", "v": "w + 7", "p": "v + 11", "k": 2}, "premises": {"k": 2}, "target": "u"}, "answer": {"steps": [["q", "k + 19", 21], ["b", "q + 18", 39], ["r", "b + 3", 42], ["y", "r + 17", 59], ["s", "y + 8", 67], ["u", "s + 19", 86]], "target_var_name": "u", "target_value": 86, "value_dict": {"k": 2, "q": 21, "b": 39, "r": 42, "y": 59, "s": 67, "u": 86}, "is_reverse": false}} | 1,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 7; x = k + 2; h = x + 13; q = k + 19; w = a + 3; r = b + 3; b = q + 18; y = r + 17; u = s + 19; k = 2; p = v + 11; a = h + 9; s = y + 8. If k = 2, what is the resulting value of u?",
"role": "user"
... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = k + 19, which gives q = 21.\n2. Compute b using b = q + 18, which gives b = 39.\n3. Compute r using r = b + 3, which gives r = 42.\n4. Compute y using y = r + 17, which gives y = 59.\n5. Compute s using s = y + 8, which gives s = 67.\n6. Compute u using u = s + 19, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 1080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = w + 7; x = k + 2; h = x + 13; q = k + 19; w = a + 3; r = b + 3; b = q + 18; y = r + 17; u = s + 19; k = 2; p = v + 11; a = h + 9; s = y + 8. If k = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 19", "o": "g + 4", "y": "o + 14", "p": "y + 5", "i": "p + 8", "h": "i + 10", "k": "n + 5", "x": "k + 8", "m": "x + 4", "t": "m + 7", "v": "t + 3", "u": "v + 12", "n": 7}, "premises": {"n": 7}, "target": "h"}, "answer": {"steps": [["g", "n + 19", 26], ["o", "g + 4", 30], ["y", "o + 14", 44], ["p", "y + 5", 49], ["i", "p + 8", 57], ["h", "i + 10", 67]], "target_var_name": "h", "target_value": 67, "value_dict": {"n": 7, "g": 26, "o": 30, "y": 44, "p": 49, "i": 57, "h": 67}, "is_reverse": false}} | 1,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 19; y = o + 14; t = m + 7; x = k + 8; u = v + 12; o = g + 4; i = p + 8; m = x + 4; k = n + 5; v = t + 3; p = y + 5; n = 7; h = i + 10. If n = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = n + 19, which gives g = 26.\n2. Compute o using o = g + 4, which gives o = 30.\n3. Compute y using y = o + 14, which gives y = 44.\n4. Compute p using p = y + 5, which gives p = 49.\n5. Compute i using i = p + 8, which gives i = 57.\n6. Compute h using h = i + 10, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 1081,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 19; y = o + 14; t = m + 7; x = k + 8; u = v + 12; o = g + 4; i = p + 8; m = x + 4; k = n + 5; v = t + 3; p = y + 5; n = 7; h = i + 10. If n = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 12", "t": "j + 11", "q": "t + 1", "w": "q + 2", "i": "w + 10", "d": "i + 18", "n": "l + 10", "x": "n + 8", "b": "x + 15", "o": "b + 8", "c": "o + 20", "h": "c + 18", "l": 2}, "premises": {"l": 2}, "target": "d"}, "answer": {"steps": [["j", "l + 12", 14], ["t", "j + 11", 25], ["q", "t + 1", 26], ["w", "q + 2", 28], ["i", "w + 10", 38], ["d", "i + 18", 56]], "target_var_name": "d", "target_value": 56, "value_dict": {"l": 2, "j": 14, "t": 25, "q": 26, "w": 28, "i": 38, "d": 56}, "is_reverse": false}} | 1,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 8; x = n + 8; h = c + 18; q = t + 1; d = i + 18; j = l + 12; n = l + 10; t = j + 11; i = w + 10; w = q + 2; b = x + 15; l = 2; c = o + 20. If l = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = l + 12, which gives j = 14.\n2. Compute t using t = j + 11, which gives t = 25.\n3. Compute q using q = t + 1, which gives q = 26.\n4. Compute w using w = q + 2, which gives w = 28.\n5. Compute i using i = w + 10, which gives i = 38.\n6. Compute d using d = i + 18, which gives d = 56.\n\nThus, the final answer is d = \\boxed{56}.",
"index": 1082,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 8; x = n + 8; h = c + 18; q = t + 1; d = i + 18; j = l + 12; n = l + 10; t = j + 11; i = w + 10; w = q + 2; b = x + 15; l = 2; c = o + 20. If l = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 15", "f": "x + 16", "b": "f + 2", "d": "b + 17", "q": "d + 3", "y": "q + 16", "s": "k + 11", "h": "s + 5", "m": "h + 6", "t": "m + 8", "l": "t + 12", "i": "l + 18", "k": 13}, "premises": {"k": 13}, "target": "y"}, "answer": {"steps": [["x", "k + 15", 28], ["f", "x + 16", 44], ["b", "f + 2", 46], ["d", "b + 17", 63], ["q", "d + 3", 66], ["y", "q + 16", 82]], "target_var_name": "y", "target_value": 82, "value_dict": {"k": 13, "x": 28, "f": 44, "b": 46, "d": 63, "q": 66, "y": 82}, "is_reverse": false}} | 1,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 16; d = b + 17; q = d + 3; x = k + 15; i = l + 18; f = x + 16; s = k + 11; l = t + 12; k = 13; b = f + 2; h = s + 5; t = m + 8; m = h + 6. Given that k = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = k + 15, which gives x = 28.\n2. Compute f using f = x + 16, which gives f = 44.\n3. Compute b using b = f + 2, which gives b = 46.\n4. Compute d using d = b + 17, which gives d = 63.\n5. Compute q using q = d + 3, which gives q = 66.\n6. Compute y using y = q + 16, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 1083,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 16; d = b + 17; q = d + 3; x = k + 15; i = l + 18; f = x + 16; s = k + 11; l = t + 12; k = 13; b = f + 2; h = s + 5; t = m + 8; m = h + 6. Given that k = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 20", "w": "l + 16", "g": "w + 12", "z": "g + 1", "b": "z + 19", "q": "b + 11", "y": "a + 16", "k": "y + 4", "n": "k + 2", "v": "n + 1", "m": "v + 20", "f": "m + 13", "a": 10}, "premises": {"a": 10}, "target": "q"}, "answer": {"steps": [["l", "a + 20", 30], ["w", "l + 16", 46], ["g", "w + 12", 58], ["z", "g + 1", 59], ["b", "z + 19", 78], ["q", "b + 11", 89]], "target_var_name": "q", "target_value": 89, "value_dict": {"a": 10, "l": 30, "w": 46, "g": 58, "z": 59, "b": 78, "q": 89}, "is_reverse": false}} | 1,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 16; a = 10; g = w + 12; q = b + 11; k = y + 4; b = z + 19; m = v + 20; l = a + 20; z = g + 1; n = k + 2; f = m + 13; v = n + 1; w = l + 16. Given that a = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = a + 20, which gives l = 30.\n2. Compute w using w = l + 16, which gives w = 46.\n3. Compute g using g = w + 12, which gives g = 58.\n4. Compute z using z = g + 1, which gives z = 59.\n5. Compute b using b = z + 19, which gives b = 78.\n6. Compute q using q = b + 11, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 1084,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 16; a = 10; g = w + 12; q = b + 11; k = y + 4; b = z + 19; m = v + 20; l = a + 20; z = g + 1; n = k + 2; f = m + 13; v = n + 1; w = l + 16. Given that a = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 8", "g": "z + 18", "r": "g + 7", "c": "r + 2", "t": "c + 7", "f": "t + 3", "b": "k + 15", "d": "b + 3", "e": "d + 11", "i": "e + 12", "j": "i + 19", "o": "j + 11", "k": 15}, "premises": {"k": 15}, "target": "f"}, "answer": {"steps": [["z", "k + 8", 23], ["g", "z + 18", 41], ["r", "g + 7", 48], ["c", "r + 2", 50], ["t", "c + 7", 57], ["f", "t + 3", 60]], "target_var_name": "f", "target_value": 60, "value_dict": {"k": 15, "z": 23, "g": 41, "r": 48, "c": 50, "t": 57, "f": 60}, "is_reverse": false}} | 1,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 15; t = c + 7; r = g + 7; f = t + 3; j = i + 19; g = z + 18; z = k + 8; o = j + 11; e = d + 11; d = b + 3; c = r + 2; i = e + 12; k = 15. If k = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = k + 8, which gives z = 23.\n2. Compute g using g = z + 18, which gives g = 41.\n3. Compute r using r = g + 7, which gives r = 48.\n4. Compute c using c = r + 2, which gives c = 50.\n5. Compute t using t = c + 7, which gives t = 57.\n6. Compute f using f = t + 3, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 1085,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 15; t = c + 7; r = g + 7; f = t + 3; j = i + 19; g = z + 18; z = k + 8; o = j + 11; e = d + 11; d = b + 3; c = r + 2; i = e + 12; k = 15. If k = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 6", "j": "r + 9", "z": "j + 20", "o": "z + 2", "t": "o + 14", "k": "t + 6", "u": "q + 8", "v": "u + 5", "y": "v + 4", "d": "y + 6", "e": "d + 18", "g": "e + 15", "q": 6}, "premises": {"q": 6}, "target": "k"}, "answer": {"steps": [["r", "q + 6", 12], ["j", "r + 9", 21], ["z", "j + 20", 41], ["o", "z + 2", 43], ["t", "o + 14", 57], ["k", "t + 6", 63]], "target_var_name": "k", "target_value": 63, "value_dict": {"q": 6, "r": 12, "j": 21, "z": 41, "o": 43, "t": 57, "k": 63}, "is_reverse": false}} | 1,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 6; u = q + 8; z = j + 20; e = d + 18; o = z + 2; t = o + 14; y = v + 4; d = y + 6; g = e + 15; r = q + 6; k = t + 6; v = u + 5; j = r + 9. If q = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = q + 6, which gives r = 12.\n2. Compute j using j = r + 9, which gives j = 21.\n3. Compute z using z = j + 20, which gives z = 41.\n4. Compute o using o = z + 2, which gives o = 43.\n5. Compute t using t = o + 14, which gives t = 57.\n6. Compute k using k = t + 6, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 1086,
"question": "Consider a system of variables where each variable is defined as follows: q = 6; u = q + 8; z = j + 20; e = d + 18; o = z + 2; t = o + 14; y = v + 4; d = y + 6; g = e + 15; r = q + 6; k = t + 6; v = u + 5; j = r + 9. If q = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 17", "q": "a + 6", "u": "q + 15", "l": "u + 17", "z": "l + 14", "d": "z + 16", "m": "y + 3", "p": "m + 14", "k": "p + 19", "j": "k + 14", "s": "j + 1", "n": "s + 6", "y": 5}, "premises": {"y": 5}, "target": "d"}, "answer": {"steps": [["a", "y + 17", 22], ["q", "a + 6", 28], ["u", "q + 15", 43], ["l", "u + 17", 60], ["z", "l + 14", 74], ["d", "z + 16", 90]], "target_var_name": "d", "target_value": 90, "value_dict": {"y": 5, "a": 22, "q": 28, "u": 43, "l": 60, "z": 74, "d": 90}, "is_reverse": false}} | 1,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 17; k = p + 19; n = s + 6; a = y + 17; d = z + 16; z = l + 14; u = q + 15; j = k + 14; q = a + 6; p = m + 14; m = y + 3; y = 5; s = j + 1. Given that y = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = y + 17, which gives a = 22.\n2. Compute q using q = a + 6, which gives q = 28.\n3. Compute u using u = q + 15, which gives u = 43.\n4. Compute l using l = u + 17, which gives l = 60.\n5. Compute z using z = l + 14, which gives z = 74.\n6. Compute d using d = z + 16, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 1087,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 17; k = p + 19; n = s + 6; a = y + 17; d = z + 16; z = l + 14; u = q + 15; j = k + 14; q = a + 6; p = m + 14; m = y + 3; y = 5; s = j + 1. Given that y = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 3", "r": "m + 7", "o": "r + 4", "d": "o + 2", "e": "d + 11", "n": "e + 17", "i": "v + 9", "a": "i + 3", "p": "a + 17", "x": "p + 20", "k": "x + 10", "t": "k + 7", "v": 20}, "premises": {"v": 20}, "target": "n"}, "answer": {"steps": [["m", "v + 3", 23], ["r", "m + 7", 30], ["o", "r + 4", 34], ["d", "o + 2", 36], ["e", "d + 11", 47], ["n", "e + 17", 64]], "target_var_name": "n", "target_value": 64, "value_dict": {"v": 20, "m": 23, "r": 30, "o": 34, "d": 36, "e": 47, "n": 64}, "is_reverse": false}} | 1,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = k + 7; i = v + 9; e = d + 11; o = r + 4; k = x + 10; p = a + 17; v = 20; m = v + 3; r = m + 7; n = e + 17; x = p + 20; d = o + 2; a = i + 3. If v = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = v + 3, which gives m = 23.\n2. Compute r using r = m + 7, which gives r = 30.\n3. Compute o using o = r + 4, which gives o = 34.\n4. Compute d using d = o + 2, which gives d = 36.\n5. Compute e using e = d + 11, which gives e = 47.\n6. Compute n using n = e + 17, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 1088,
"question": "Consider a system of variables where each variable is defined as follows: t = k + 7; i = v + 9; e = d + 11; o = r + 4; k = x + 10; p = a + 17; v = 20; m = v + 3; r = m + 7; n = e + 17; x = p + 20; d = o + 2; a = i + 3. If v = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 11", "f": "x + 10", "d": "f + 15", "t": "d + 13", "g": "t + 19", "p": "g + 4", "i": "b + 14", "u": "i + 4", "l": "u + 18", "s": "l + 3", "m": "s + 6", "j": "m + 11", "b": 12}, "premises": {"b": 12}, "target": "p"}, "answer": {"steps": [["x", "b + 11", 23], ["f", "x + 10", 33], ["d", "f + 15", 48], ["t", "d + 13", 61], ["g", "t + 19", 80], ["p", "g + 4", 84]], "target_var_name": "p", "target_value": 84, "value_dict": {"b": 12, "x": 23, "f": 33, "d": 48, "t": 61, "g": 80, "p": 84}, "is_reverse": false}} | 1,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 10; u = i + 4; j = m + 11; s = l + 3; l = u + 18; g = t + 19; i = b + 14; t = d + 13; p = g + 4; b = 12; x = b + 11; d = f + 15; m = s + 6. If b = 12, what is the resulting value of p?",
"role": "us... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = b + 11, which gives x = 23.\n2. Compute f using f = x + 10, which gives f = 33.\n3. Compute d using d = f + 15, which gives d = 48.\n4. Compute t using t = d + 13, which gives t = 61.\n5. Compute g using g = t + 19, which gives g = 80.\n6. Compute p using p = g + 4, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 1089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 10; u = i + 4; j = m + 11; s = l + 3; l = u + 18; g = t + 19; i = b + 14; t = d + 13; p = g + 4; b = 12; x = b + 11; d = f + 15; m = s + 6. If b = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 3", "e": "m + 10", "s": "e + 6", "o": "s + 5", "p": "o + 11", "d": "p + 17", "r": "l + 2", "k": "r + 15", "v": "k + 11", "u": "v + 12", "n": "u + 17", "j": "n + 1", "l": 12}, "premises": {"l": 12}, "target": "d"}, "answer": {"steps": [["m", "l + 3", 15], ["e", "m + 10", 25], ["s", "e + 6", 31], ["o", "s + 5", 36], ["p", "o + 11", 47], ["d", "p + 17", 64]], "target_var_name": "d", "target_value": 64, "value_dict": {"l": 12, "m": 15, "e": 25, "s": 31, "o": 36, "p": 47, "d": 64}, "is_reverse": false}} | 1,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 12; p = o + 11; j = n + 1; m = l + 3; r = l + 2; n = u + 17; k = r + 15; s = e + 6; d = p + 17; o = s + 5; e = m + 10; u = v + 12; v = k + 11. If l = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = l + 3, which gives m = 15.\n2. Compute e using e = m + 10, which gives e = 25.\n3. Compute s using s = e + 6, which gives s = 31.\n4. Compute o using o = s + 5, which gives o = 36.\n5. Compute p using p = o + 11, which gives p = 47.\n6. Compute d using d = p + 17, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 1090,
"question": "Consider a system of variables where each variable is defined as follows: l = 12; p = o + 11; j = n + 1; m = l + 3; r = l + 2; n = u + 17; k = r + 15; s = e + 6; d = p + 17; o = s + 5; e = m + 10; u = v + 12; v = k + 11. If l = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 6", "k": "u + 20", "o": "k + 12", "f": "o + 6", "e": "f + 20", "g": "e + 5", "q": "b + 13", "c": "q + 4", "r": "c + 1", "w": "r + 19", "a": "w + 9", "y": "a + 12", "b": 17}, "premises": {"b": 17}, "target": "g"}, "answer": {"steps": [["u", "b + 6", 23], ["k", "u + 20", 43], ["o", "k + 12", 55], ["f", "o + 6", 61], ["e", "f + 20", 81], ["g", "e + 5", 86]], "target_var_name": "g", "target_value": 86, "value_dict": {"b": 17, "u": 23, "k": 43, "o": 55, "f": 61, "e": 81, "g": 86}, "is_reverse": false}} | 1,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 19; u = b + 6; g = e + 5; b = 17; o = k + 12; q = b + 13; e = f + 20; f = o + 6; y = a + 12; k = u + 20; c = q + 4; r = c + 1; a = w + 9. If b = 17, what is the resulting value of g?",
"role": "user... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = b + 6, which gives u = 23.\n2. Compute k using k = u + 20, which gives k = 43.\n3. Compute o using o = k + 12, which gives o = 55.\n4. Compute f using f = o + 6, which gives f = 61.\n5. Compute e using e = f + 20, which gives e = 81.\n6. Compute g using g = e + 5, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 1091,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 19; u = b + 6; g = e + 5; b = 17; o = k + 12; q = b + 13; e = f + 20; f = o + 6; y = a + 12; k = u + 20; c = q + 4; r = c + 1; a = w + 9. If b = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 15", "l": "j + 8", "v": "l + 11", "e": "v + 1", "m": "e + 9", "o": "m + 12", "r": "b + 7", "h": "r + 1", "y": "h + 18", "t": "y + 7", "d": "t + 14", "x": "d + 7", "b": 18}, "premises": {"b": 18}, "target": "o"}, "answer": {"steps": [["j", "b + 15", 33], ["l", "j + 8", 41], ["v", "l + 11", 52], ["e", "v + 1", 53], ["m", "e + 9", 62], ["o", "m + 12", 74]], "target_var_name": "o", "target_value": 74, "value_dict": {"b": 18, "j": 33, "l": 41, "v": 52, "e": 53, "m": 62, "o": 74}, "is_reverse": false}} | 1,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 11; r = b + 7; j = b + 15; l = j + 8; m = e + 9; o = m + 12; h = r + 1; d = t + 14; x = d + 7; b = 18; t = y + 7; e = v + 1; y = h + 18. If b = 18, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = b + 15, which gives j = 33.\n2. Compute l using l = j + 8, which gives l = 41.\n3. Compute v using v = l + 11, which gives v = 52.\n4. Compute e using e = v + 1, which gives e = 53.\n5. Compute m using m = e + 9, which gives m = 62.\n6. Compute o using o = m + 12, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 1092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 11; r = b + 7; j = b + 15; l = j + 8; m = e + 9; o = m + 12; h = r + 1; d = t + 14; x = d + 7; b = 18; t = y + 7; e = v + 1; y = h + 18. If b = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 6", "d": "g + 4", "t": "d + 19", "s": "t + 3", "w": "s + 6", "h": "w + 5", "a": "r + 12", "f": "a + 16", "l": "f + 4", "p": "l + 19", "z": "p + 1", "m": "z + 2", "r": 15}, "premises": {"r": 15}, "target": "h"}, "answer": {"steps": [["g", "r + 6", 21], ["d", "g + 4", 25], ["t", "d + 19", 44], ["s", "t + 3", 47], ["w", "s + 6", 53], ["h", "w + 5", 58]], "target_var_name": "h", "target_value": 58, "value_dict": {"r": 15, "g": 21, "d": 25, "t": 44, "s": 47, "w": 53, "h": 58}, "is_reverse": false}} | 1,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 3; r = 15; t = d + 19; a = r + 12; l = f + 4; f = a + 16; h = w + 5; w = s + 6; p = l + 19; g = r + 6; d = g + 4; z = p + 1; m = z + 2. Given that r = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = r + 6, which gives g = 21.\n2. Compute d using d = g + 4, which gives d = 25.\n3. Compute t using t = d + 19, which gives t = 44.\n4. Compute s using s = t + 3, which gives s = 47.\n5. Compute w using w = s + 6, which gives w = 53.\n6. Compute h using h = w + 5, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 1093,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 3; r = 15; t = d + 19; a = r + 12; l = f + 4; f = a + 16; h = w + 5; w = s + 6; p = l + 19; g = r + 6; d = g + 4; z = p + 1; m = z + 2. Given that r = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 5", "q": "o + 20", "j": "q + 9", "n": "j + 16", "h": "n + 15", "b": "h + 14", "r": "c + 17", "x": "r + 13", "s": "x + 8", "k": "s + 19", "y": "k + 5", "d": "y + 5", "c": 5}, "premises": {"c": 5}, "target": "b"}, "answer": {"steps": [["o", "c + 5", 10], ["q", "o + 20", 30], ["j", "q + 9", 39], ["n", "j + 16", 55], ["h", "n + 15", 70], ["b", "h + 14", 84]], "target_var_name": "b", "target_value": 84, "value_dict": {"c": 5, "o": 10, "q": 30, "j": 39, "n": 55, "h": 70, "b": 84}, "is_reverse": false}} | 1,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 5; s = x + 8; q = o + 20; j = q + 9; o = c + 5; r = c + 17; b = h + 14; x = r + 13; y = k + 5; h = n + 15; n = j + 16; k = s + 19; c = 5. If c = 5, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = c + 5, which gives o = 10.\n2. Compute q using q = o + 20, which gives q = 30.\n3. Compute j using j = q + 9, which gives j = 39.\n4. Compute n using n = j + 16, which gives n = 55.\n5. Compute h using h = n + 15, which gives h = 70.\n6. Compute b using b = h + 14, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 1094,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 5; s = x + 8; q = o + 20; j = q + 9; o = c + 5; r = c + 17; b = h + 14; x = r + 13; y = k + 5; h = n + 15; n = j + 16; k = s + 19; c = 5. If c = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 4", "m": "p + 16", "e": "m + 3", "j": "e + 5", "f": "j + 19", "y": "f + 1", "k": "o + 4", "i": "k + 14", "s": "i + 1", "b": "s + 5", "l": "b + 7", "q": "l + 10", "o": 15}, "premises": {"o": 15}, "target": "y"}, "answer": {"steps": [["p", "o + 4", 19], ["m", "p + 16", 35], ["e", "m + 3", 38], ["j", "e + 5", 43], ["f", "j + 19", 62], ["y", "f + 1", 63]], "target_var_name": "y", "target_value": 63, "value_dict": {"o": 15, "p": 19, "m": 35, "e": 38, "j": 43, "f": 62, "y": 63}, "is_reverse": false}} | 1,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 16; j = e + 5; e = m + 3; y = f + 1; k = o + 4; p = o + 4; o = 15; l = b + 7; b = s + 5; f = j + 19; q = l + 10; s = i + 1; i = k + 14. Given that o = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = o + 4, which gives p = 19.\n2. Compute m using m = p + 16, which gives m = 35.\n3. Compute e using e = m + 3, which gives e = 38.\n4. Compute j using j = e + 5, which gives j = 43.\n5. Compute f using f = j + 19, which gives f = 62.\n6. Compute y using y = f + 1, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 1095,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 16; j = e + 5; e = m + 3; y = f + 1; k = o + 4; p = o + 4; o = 15; l = b + 7; b = s + 5; f = j + 19; q = l + 10; s = i + 1; i = k + 14. Given that o = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 19", "z": "f + 15", "l": "z + 3", "x": "l + 14", "g": "x + 15", "q": "g + 17", "a": "k + 14", "v": "a + 9", "p": "v + 11", "u": "p + 2", "s": "u + 4", "c": "s + 16", "k": 1}, "premises": {"k": 1}, "target": "q"}, "answer": {"steps": [["f", "k + 19", 20], ["z", "f + 15", 35], ["l", "z + 3", 38], ["x", "l + 14", 52], ["g", "x + 15", 67], ["q", "g + 17", 84]], "target_var_name": "q", "target_value": 84, "value_dict": {"k": 1, "f": 20, "z": 35, "l": 38, "x": 52, "g": 67, "q": 84}, "is_reverse": false}} | 1,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 2; f = k + 19; q = g + 17; l = z + 3; z = f + 15; x = l + 14; p = v + 11; s = u + 4; c = s + 16; v = a + 9; a = k + 14; g = x + 15; k = 1. If k = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = k + 19, which gives f = 20.\n2. Compute z using z = f + 15, which gives z = 35.\n3. Compute l using l = z + 3, which gives l = 38.\n4. Compute x using x = l + 14, which gives x = 52.\n5. Compute g using g = x + 15, which gives g = 67.\n6. Compute q using q = g + 17, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 1096,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 2; f = k + 19; q = g + 17; l = z + 3; z = f + 15; x = l + 14; p = v + 11; s = u + 4; c = s + 16; v = a + 9; a = k + 14; g = x + 15; k = 1. If k = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 10", "n": "h + 4", "r": "n + 14", "x": "r + 12", "w": "x + 1", "z": "w + 18", "u": "p + 3", "f": "u + 11", "i": "f + 16", "q": "i + 1", "j": "q + 5", "y": "j + 19", "p": 4}, "premises": {"p": 4}, "target": "z"}, "answer": {"steps": [["h", "p + 10", 14], ["n", "h + 4", 18], ["r", "n + 14", 32], ["x", "r + 12", 44], ["w", "x + 1", 45], ["z", "w + 18", 63]], "target_var_name": "z", "target_value": 63, "value_dict": {"p": 4, "h": 14, "n": 18, "r": 32, "x": 44, "w": 45, "z": 63}, "is_reverse": false}} | 1,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 1; u = p + 3; i = f + 16; y = j + 19; r = n + 14; n = h + 4; z = w + 18; x = r + 12; p = 4; q = i + 1; j = q + 5; f = u + 11; h = p + 10. If p = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = p + 10, which gives h = 14.\n2. Compute n using n = h + 4, which gives n = 18.\n3. Compute r using r = n + 14, which gives r = 32.\n4. Compute x using x = r + 12, which gives x = 44.\n5. Compute w using w = x + 1, which gives w = 45.\n6. Compute z using z = w + 18, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 1097,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 1; u = p + 3; i = f + 16; y = j + 19; r = n + 14; n = h + 4; z = w + 18; x = r + 12; p = 4; q = i + 1; j = q + 5; f = u + 11; h = p + 10. If p = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 19", "i": "e + 17", "r": "i + 2", "z": "r + 15", "g": "z + 16", "w": "g + 14", "k": "f + 6", "b": "k + 3", "h": "b + 12", "x": "h + 11", "j": "x + 3", "u": "j + 4", "f": 12}, "premises": {"f": 12}, "target": "w"}, "answer": {"steps": [["e", "f + 19", 31], ["i", "e + 17", 48], ["r", "i + 2", 50], ["z", "r + 15", 65], ["g", "z + 16", 81], ["w", "g + 14", 95]], "target_var_name": "w", "target_value": 95, "value_dict": {"f": 12, "e": 31, "i": 48, "r": 50, "z": 65, "g": 81, "w": 95}, "is_reverse": false}} | 1,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 3; x = h + 11; k = f + 6; z = r + 15; e = f + 19; w = g + 14; i = e + 17; r = i + 2; g = z + 16; f = 12; u = j + 4; h = b + 12; j = x + 3. Given that f = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = f + 19, which gives e = 31.\n2. Compute i using i = e + 17, which gives i = 48.\n3. Compute r using r = i + 2, which gives r = 50.\n4. Compute z using z = r + 15, which gives z = 65.\n5. Compute g using g = z + 16, which gives g = 81.\n6. Compute w using w = g + 14, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 1098,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 3; x = h + 11; k = f + 6; z = r + 15; e = f + 19; w = g + 14; i = e + 17; r = i + 2; g = z + 16; f = 12; u = j + 4; h = b + 12; j = x + 3. Given that f = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 1", "l": "d + 16", "h": "l + 20", "e": "h + 6", "w": "e + 14", "a": "w + 15", "c": "y + 20", "i": "c + 7", "n": "i + 19", "x": "n + 16", "f": "x + 9", "o": "f + 8", "y": 19}, "premises": {"y": 19}, "target": "a"}, "answer": {"steps": [["d", "y + 1", 20], ["l", "d + 16", 36], ["h", "l + 20", 56], ["e", "h + 6", 62], ["w", "e + 14", 76], ["a", "w + 15", 91]], "target_var_name": "a", "target_value": 91, "value_dict": {"y": 19, "d": 20, "l": 36, "h": 56, "e": 62, "w": 76, "a": 91}, "is_reverse": false}} | 1,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 16; o = f + 8; d = y + 1; y = 19; a = w + 15; f = x + 9; e = h + 6; n = i + 19; l = d + 16; c = y + 20; w = e + 14; h = l + 20; i = c + 7. If y = 19, what is the resulting value of a?",
"role": "use... | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = y + 1, which gives d = 20.\n2. Compute l using l = d + 16, which gives l = 36.\n3. Compute h using h = l + 20, which gives h = 56.\n4. Compute e using e = h + 6, which gives e = 62.\n5. Compute w using w = e + 14, which gives w = 76.\n6. Compute a using a = w + 15, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 1099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 16; o = f + 8; d = y + 1; y = 19; a = w + 15; f = x + 9; e = h + 6; n = i + 19; l = d + 16; c = y + 20; w = e + 14; h = l + 20; i = c + 7. If y = 19, what is the resulting value of a?",
"split": "train"
} |
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